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20021202201132 = 223211472027530693
BaseRepresentation
bin1001000110101100011001…
…01001010010101000101100
32121220000020000010220211100
410203112030221102220230
510111011410230414012
6110325340250523100
74134325024532226
oct443261451225054
977800200126740
1020021202201132
116419a42766610
1222b42b0136490
13b22cb6a73992
144d3062087416
1524abe64248dc
hex12358ca52a2c

20021202201132 has 144 divisors (see below), whose sum is σ = 56412585395712. Its totient is φ = 5935004595840.

The previous prime is 20021202201131. The next prime is 20021202201139. The reversal of 20021202201132 is 23110220212002.

20021202201132 is a `hidden beast` number, since 200 + 212 + 0 + 220 + 1 + 1 + 32 = 666.

It is a super-2 number, since 2×200212022011322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20021202201131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37461178 + ... + 37991870.

It is an arithmetic number, because the mean of its divisors is an integer number (391754065248).

Almost surely, 220021202201132 is an apocalyptic number.

20021202201132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021202201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28206292697856).

20021202201132 is an abundant number, since it is smaller than the sum of its proper divisors (36391383194580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20021202201132 is a wasteful number, since it uses less digits than its factorization.

20021202201132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532788 (or 532783 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20021202201132 its reverse (23110220212002), we get a palindrome (43131422413134).

The spelling of 20021202201132 in words is "twenty trillion, twenty-one billion, two hundred two million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2027 2068 3102 4054 4653 6081 6204 8108 9306 12162 18243 18612 22297 24324 36486 44594 66891 72972 89188 95269 133782 190538 200673 267564 285807 381076 401346 530693 571614 802692 857421 1047959 1061386 1143228 1592079 1714842 2095918 2122772 3143877 3184158 3429684 4191836 4776237 5837623 6287754 6368316 9431631 9552474 11675246 12575508 17512869 18863262 19104948 23350492 24942571 35025738 37726524 49885142 52538607 70051476 74827713 99770284 105077214 149655426 210154428 224483139 274368281 299310852 448966278 548736562 823104843 897932556 1075714711 1097473124 1646209686 2151429422 2469314529 3227144133 3292419372 4302858844 4938629058 6454288266 9681432399 9877258116 11832861821 12908576532 19362864798 23665723642 35498585463 38725729596 47331447284 50558591417 70997170926 101117182834 106495756389 141994341852 151675774251 202234365668 212991512778 303351548502 425983025556 455027322753 556144505587 606703097004 910054645506 1112289011174 1668433516761 1820109291012 2224578022348 3336867033522 5005300550283 6673734067044 10010601100566 20021202201132