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23323210220100 = 22352730613628321
BaseRepresentation
bin1010100110110010110111…
…01010010000001001000100
310001120200021121210011012110
411103121123222100021010
511024111413304020400
6121334311310221020
74625021614562460
oct523313352201104
9101520247704173
1023323210220100
11748235515299a
12274823bab4770
1310024a542678b
145a8bc6a674a0
152a6a54770e50
hex15365ba90244

23323210220100 has 144 divisors (see below), whose sum is σ = 77147298118016. Its totient is φ = 5329276416000.

The previous prime is 23323210220083. The next prime is 23323210220117. The reversal of 23323210220100 is 102201232332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23323210220083) and next prime (23323210220117).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 4613940 + ... + 8242260.

Almost surely, 223323210220100 is an apocalyptic number.

23323210220100 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 23323210220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38573649059008).

23323210220100 is an abundant number, since it is smaller than the sum of its proper divisors (53824087897916).

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

23323210220100 is a wasteful number, since it uses less digits than its factorization.

23323210220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631406 (or 3631399 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23323210220100 its reverse (102201232332), we get a palindrome (23425411452432).

The spelling of 23323210220100 in words is "twenty-three trillion, three hundred twenty-three billion, two hundred ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3061 6122 9183 12244 15305 18366 21427 30610 36732 42854 45915 61220 64281 76525 85708 91830 107135 128562 153050 183660 214270 229575 257124 306100 321405 428540 459150 535675 642810 918300 1071350 1285620 1607025 2142700 3214050 3628321 6428100 7256642 10884963 14513284 18141605 21769926 25398247 36283210 43539852 50796494 54424815 72566420 76194741 90708025 101592988 108849630 126991235 152389482 181416050 217699260 253982470 272124075 304778964 362832100 380973705 507964940 544248150 634956175 761947410 1088496300 1269912350 1523894820 1904868525 2539824700 3809737050 7619474100 11106290581 22212581162 33318871743 44425162324 55531452905 66637743486 77744034067 111062905810 133275486972 155488068134 166594358715 222125811620 233232102201 277657264525 310976136268 333188717430 388720170335 466464204402 555314529050 666377434860 777440340670 832971793575 932928408804 1110629058100 1166160511005 1554880681340 1665943587150 1943600851675 2332321022010 3331887174300 3887201703350 4664642044020 5830802555025 7774403406700 11661605110050 23323210220100