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23011241020 = 22523434492591
BaseRepresentation
bin10101011011100100…
…111010110000111100
32012101200201011100221
4111123210322300330
5334111334203040
614323214431124
71443145215145
oct253344726074
965350634327
1023011241020
119839277a69
1245625024a4
1322294c6861
1411841b6acc
158ea2d074a
hex55b93ac3c

23011241020 has 96 divisors (see below), whose sum is σ = 51732172800. Its totient is φ = 8577085440.

The previous prime is 23011241017. The next prime is 23011241051. The reversal of 23011241020 is 2014211032.

It is a junction number, because it is equal to n+sod(n) for n = 23011240985 and 23011241003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8879925 + ... + 8882515.

It is an arithmetic number, because the mean of its divisors is an integer number (538876800).

Almost surely, 223011241020 is an apocalyptic number.

23011241020 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 23011241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25866086400).

23011241020 is an abundant number, since it is smaller than the sum of its proper divisors (28720931780).

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

23011241020 is a wasteful number, since it uses less digits than its factorization.

23011241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 23011241020 its reverse (2014211032), we get a palindrome (25025452052).

The spelling of 23011241020 in words is "twenty-three billion, eleven million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 430 449 460 860 898 989 1796 1978 2245 2591 3956 4490 4945 5182 8980 9890 10327 10364 12955 19307 19780 20654 25910 38614 41308 51635 51820 59593 77228 96535 103270 111413 119186 193070 206540 222826 238372 297965 386140 444061 445652 557065 595930 888122 1114130 1163359 1191860 1776244 2220305 2228260 2326718 2562499 4440610 4653436 5124998 5816795 8881220 10249996 11633590 12812495 23267180 25624990 26757257 50024437 51249980 53514514 100048874 107029028 133786285 200097748 250122185 267572570 500244370 535145140 1000488740 1150562051 2301124102 4602248204 5752810255 11505620510 23011241020