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23031102200 = 23524122712373
BaseRepresentation
bin10101011100110000…
…101011101011111000
32012110002002012210012
4111130300223223320
5334131430232300
614325204241052
71443506065361
oct253460535370
965402065705
1023031102200
119849502a67
1245690a0188
13223065ba32
141186aa6b68
158ebe05435
hex55cc2baf8

23031102200 has 96 divisors (see below), whose sum is σ = 55099442160. Its totient is φ = 8947430400.

The previous prime is 23031102169. The next prime is 23031102203. The reversal of 23031102200 is 220113032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23031102203) 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 23 ways as a sum of consecutive naturals, for example, 1855214 + ... + 1867586.

Almost surely, 223031102200 is an apocalyptic number.

23031102200 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 23031102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27549721080).

23031102200 is an abundant number, since it is smaller than the sum of its proper divisors (32068339960).

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

23031102200 is a wasteful number, since it uses less digits than its factorization.

23031102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12657 (or 12648 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23031102200 its reverse (220113032), we get a palindrome (23251215232).

The spelling of 23031102200 in words is "twenty-three billion, thirty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 227 328 410 454 820 908 1025 1135 1640 1816 2050 2270 4100 4540 5675 8200 9080 9307 11350 12373 18614 22700 24746 37228 45400 46535 49492 61865 74456 93070 98984 123730 186140 232675 247460 309325 372280 465350 494920 507293 618650 930700 1014586 1237300 1861400 2029172 2474600 2536465 2808671 4058344 5072930 5617342 10145860 11234684 12682325 14043355 20291720 22469368 25364650 28086710 50729300 56173420 70216775 101458600 112346840 115155511 140433550 230311022 280867100 460622044 561734200 575777555 921244088 1151555110 2303110220 2878887775 4606220440 5757775550 11515551100 23031102200