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23030202100 = 22521929478893
BaseRepresentation
bin10101011100101101…
…001111111011110100
32012110000101111002011
4111130231033323310
5334131212431400
614325133054004
71443465326233
oct253455177364
965400344064
1023030202100
119848a48784
124568927304
132230405129
141186910b1a
158ebcc88ba
hex55cb4fef4

23030202100 has 144 divisors (see below), whose sum is σ = 55583942400. Its totient is φ = 8246085120.

The previous prime is 23030202089. The next prime is 23030202101. The reversal of 23030202100 is 120203032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23030202101) 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, 2585254 + ... + 2594146.

It is an arithmetic number, because the mean of its divisors is an integer number (385999600).

Almost surely, 223030202100 is an apocalyptic number.

23030202100 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 23030202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27791971200).

23030202100 is an abundant number, since it is smaller than the sum of its proper divisors (32553740300).

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

23030202100 is a wasteful number, since it uses less digits than its factorization.

23030202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9002 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 23030202100 its reverse (120203032), we get a palindrome (23150405132).

The spelling of 23030202100 in words is "twenty-three billion, thirty million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 47 50 58 76 94 95 100 116 145 188 190 235 290 380 470 475 551 580 725 893 940 950 1102 1175 1363 1450 1786 1900 2204 2350 2726 2755 2900 3572 4465 4700 5452 5510 6815 8893 8930 11020 13630 13775 17786 17860 22325 25897 27260 27550 34075 35572 44465 44650 51794 55100 68150 88930 89300 103588 129485 136300 168967 177860 222325 257897 258970 337934 417971 444650 515794 517940 647425 675868 835942 844835 889300 1031588 1289485 1294850 1671884 1689670 2089855 2578970 2589700 3379340 4179710 4224175 4900043 5157940 6447425 7941449 8359420 8448350 9800086 10449275 12121159 12894850 15882898 16896700 19600172 20898550 24242318 24500215 25789700 31765796 39707245 41797100 48484636 49000430 60605795 79414490 98000860 121211590 122501075 158828980 198536225 230302021 242423180 245002150 303028975 397072450 460604042 490004300 606057950 794144900 921208084 1151510105 1212115900 2303020210 4606040420 5757550525 11515101050 23030202100