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23111100120 = 2335232364069
BaseRepresentation
bin10101100001100001…
…110110011011011000
32012122122121112022010
4111201201312123120
5334312420200440
614341143025520
71445500052433
oct254141663330
965578545263
1023111100120
11988a682649
12458ba3b2a0
1322440bb194
14119356c81a
15903e58580
hex5618766d8

23111100120 has 96 divisors (see below), whose sum is σ = 72479055600. Its totient is φ = 5894989056.

The previous prime is 23111100119. The next prime is 23111100127. The reversal of 23111100120 is 2100111132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23111100096 and 23111100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23111100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118555 + ... + 245514.

Almost surely, 223111100120 is an apocalyptic number.

23111100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23111100120 is an abundant number, since it is smaller than the sum of its proper divisors (49367955480).

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

23111100120 is a wasteful number, since it uses less digits than its factorization.

23111100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364129 (or 364102 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 23111100120 its reverse (2100111132), we get a palindrome (25211211252).

The spelling of 23111100120 in words is "twenty-three billion, one hundred eleven million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2116 2645 2760 3174 4232 5290 6348 7935 10580 12696 15870 21160 31740 63480 364069 728138 1092207 1456276 1820345 2184414 2912552 3640690 4368828 5461035 7281380 8373587 8737656 10922070 14562760 16747174 21844140 25120761 33494348 41867935 43688280 50241522 66988696 83735870 100483044 125603805 167471740 192592501 200966088 251207610 334943480 385185002 502415220 577777503 770370004 962962505 1004830440 1155555006 1540740008 1925925010 2311110012 2888887515 3851850020 4622220024 5777775030 7703700040 11555550060 23111100120