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23013400431032 = 2311250946707611
BaseRepresentation
bin1010011101110001110011…
…00011101100100110111000
310000111001121110000012200022
411032320321203230212320
511004022421002243112
6120540113223230012
74563443342042024
oct516707143544670
9100431543005608
1023013400431032
117372a23648a00
1226b81992a8308
13cac20114816b
14597bd6b57384
1529d970c77d72
hex14ee398ec9b8

23013400431032 has 48 divisors (see below), whose sum is σ = 47522659829400. Its totient is φ = 10440084987200.

The previous prime is 23013400431031. The next prime is 23013400431059.

23013400431032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 23013400430992 and 23013400431010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013400431031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22861094 + ... + 23846517.

Almost surely, 223013400431032 is an apocalyptic number.

23013400431032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23013400431032 is an abundant number, since it is smaller than the sum of its proper divisors (24509259398368).

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

23013400431032 is a wasteful number, since it uses less digits than its factorization.

23013400431032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46708148 (or 46708133 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 23013400 and 431032, that added together give a palindrome (23444432).

The spelling of 23013400431032 in words is "twenty-three trillion, thirteen billion, four hundred million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 509 968 1018 2036 4072 5599 11198 22396 44792 61589 123178 246356 492712 46707611 93415222 186830444 373660888 513783721 1027567442 2055134884 4110269768 5651620931 11303241862 22606483724 23774173999 45212967448 47548347998 95096695996 190193391992 261515913989 523031827978 1046063655956 2092127311912 2876675053879 5753350107758 11506700215516 23013400431032