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20220012203100 = 223523712311479791
BaseRepresentation
bin1001001100011110101101…
…01001010000110001011100
32122121000101102020102220120
410212033112221100301130
510122241041110444400
6111000540111114540
74154563515626223
oct446172651206134
978530342212816
1020220012203100
116496293832666
122326935212a50
13b3897b6910b8
144dc9220bdcba
15250e80186ca0
hex1263d6a50c5c

20220012203100 has 144 divisors (see below), whose sum is σ = 60133253892096. Its totient is φ = 5242008096000.

The previous prime is 20220012203089. The next prime is 20220012203159. The reversal of 20220012203100 is 130221002202.

It is a happy number.

It is a super-2 number, since 2×202200122031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20220012203100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12924205 + ... + 14403995.

Almost surely, 220220012203100 is an apocalyptic number.

20220012203100 is a gapful number since it is divisible by the number (20) 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 20220012203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30066626946048).

20220012203100 is an abundant number, since it is smaller than the sum of its proper divisors (39913241688996).

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

20220012203100 is a wasteful number, since it uses less digits than its factorization.

20220012203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481076 (or 1481069 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20220012203100 its reverse (130221002202), we get a palindrome (20350233205302).

The spelling of 20220012203100 in words is "twenty trillion, two hundred twenty billion, twelve million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1231 1850 2220 2462 2775 3693 3700 4924 5550 6155 7386 11100 12310 14772 18465 24620 30775 36930 45547 61550 73860 91094 92325 123100 136641 182188 184650 227735 273282 369300 455470 546564 683205 910940 1138675 1366410 1479791 2277350 2732820 2959582 3416025 4439373 4554700 5919164 6832050 7398955 8878746 13664100 14797910 17757492 22196865 29595820 36994775 44393730 54752267 73989550 88787460 109504534 110984325 147979100 164256801 219009068 221968650 273761335 328513602 443937300 547522670 657027204 821284005 1095045340 1368806675 1642568010 1821622721 2737613350 3285136020 3643245442 4106420025 5464868163 5475226700 7286490884 8212840050 9108113605 10929736326 16425680100 18216227210 21859472652 27324340815 36432454420 45540568025 54648681630 67400040677 91081136050 109297363260 134800081354 136621704075 182162272100 202200122031 269600162708 273243408150 337000203385 404400244062 546486816300 674000406770 808800488124 1011000610155 1348000813540 1685001016925 2022001220310 3370002033850 4044002440620 5055003050775 6740004067700 10110006101550 20220012203100