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23013122131032 = 233113720420803
BaseRepresentation
bin1010011101110001010001…
…11110000100010001011000
310000111000220001100002211220
411032320220332010101120
511004021333231143112
6120540025442252040
74563433422401535
oct516705076042130
9100430801302756
1023013122131032
1173728a0546000
1226b8120057020
13cac1885a74c7
14597babbd1d8c
1529d95660398c
hex14ee28f84458

23013122131032 has 64 divisors (see below), whose sum is σ = 63281763423360. Its totient is φ = 6973673363360.

The previous prime is 23013122130961. The next prime is 23013122131033.

23013122131032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23013122130993 and 23013122131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013122131033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360178458 + ... + 360242345.

It is an arithmetic number, because the mean of its divisors is an integer number (988777553490).

Almost surely, 223013122131032 is an apocalyptic number.

23013122131032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23013122131032 is an abundant number, since it is smaller than the sum of its proper divisors (40268641292328).

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

23013122131032 is a wasteful number, since it uses less digits than its factorization.

23013122131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720420845 (or 720420819 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2301312 and 2131032, that added together give a palindrome (4432344).

The spelling of 23013122131032 in words is "twenty-three trillion, thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3993 5324 7986 10648 15972 31944 720420803 1440841606 2161262409 2881683212 4322524818 5763366424 7924628833 8645049636 15849257666 17290099272 23773886499 31698515332 47547772998 63397030664 87170917163 95095545996 174341834326 190191091992 261512751489 348683668652 523025502978 697367337304 958880088793 1046051005956 1917760177586 2092102011912 2876640266379 3835520355172 5753280532758 7671040710344 11506561065516 23013122131032