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202122101021220 = 2232537263115394159
BaseRepresentation
bin101101111101010000111000…
…000010000101101000100100
3222111122200110202002110022200
4231331100320002011220210
5202443032030330134340
61553513340015054500
760400561041344352
oct5575207002055044
9874580422073280
10202122101021220
1159447557794626
121a80474a811430
1388a2056095223
1437caa948907d2
1518579d66dc330
hexb7d438085a24

202122101021220 has 144 divisors (see below), whose sum is σ = 632068280363520. Its totient is φ = 52243089516288.

The previous prime is 202122101021053. The next prime is 202122101021227. The reversal of 202122101021220 is 22120101221202.

It is a happy number.

202122101021220 is a `hidden beast` number, since 2 + 0 + 212 + 210 + 1 + 0 + 21 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 202122101021193 and 202122101021202.

It is not an unprimeable number, because it can be changed into a prime (202122101021227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55945500 + ... + 59448659.

It is an arithmetic number, because the mean of its divisors is an integer number (4389363058080).

Almost surely, 2202122101021220 is an apocalyptic number.

202122101021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122101021220 is an abundant number, since it is smaller than the sum of its proper divisors (429946179342300).

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

202122101021220 is a wasteful number, since it uses less digits than its factorization.

202122101021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115394474 (or 115394469 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202122101021220 its reverse (22120101221202), we get a palindrome (224242202242422).

The spelling of 202122101021220 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 263 333 370 444 526 555 666 740 789 1052 1110 1315 1332 1578 1665 2220 2367 2630 3156 3330 3945 4734 5260 6660 7890 9468 9731 11835 15780 19462 23670 29193 38924 47340 48655 58386 87579 97310 116772 145965 175158 194620 291930 350316 437895 583860 875790 1751580 115394159 230788318 346182477 461576636 576970795 692364954 1038547431 1153941590 1384729908 1730912385 2077094862 2307883180 3461824770 4154189724 4269583883 5192737155 6923649540 8539167766 10385474310 12808751649 17078335532 20770948620 21347919415 25617503298 30348663817 38426254947 42695838830 51235006596 60697327634 64043758245 76852509894 85391677660 91045991451 121394655268 128087516490 151743319085 153705019788 182091982902 192131274735 256175032980 273137974353 303486638170 364183965804 384262549470 455229957255 546275948706 606973276340 768525098940 910459914510 1092551897412 1122900561229 1365689871765 1820919829020 2245801122458 2731379743530 3368701683687 4491602244916 5462759487060 5614502806145 6737403367374 10106105051061 11229005612290 13474806734748 16843508418435 20212210102122 22458011224580 33687016836870 40424420204244 50530525255305 67374033673740 101061050510610 202122101021220