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13122131232 = 253719526981
BaseRepresentation
bin11000011100010001…
…11101010100100000
31020212111121100000110
430032020331110200
5203333231144412
610010032451320
7643115163240
oct141610752440
936774540013
1013122131232
115624112461
1226626a9b40
1313117939c2
148c6a7bb20
1551c028d3c
hex30e23d520

13122131232 has 48 divisors (see below), whose sum is σ = 39366395712. Its totient is φ = 3749180160.

The previous prime is 13122131213. The next prime is 13122131251. The reversal of 13122131232 is 23213122131.

It is an interprime number because it is at equal distance from previous prime (13122131213) and next prime (13122131251).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13122131199 and 13122131208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9762819 + ... + 9764162.

It is an arithmetic number, because the mean of its divisors is an integer number (820133244).

Almost surely, 213122131232 is an apocalyptic number.

13122131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122131232 is an abundant number, since it is smaller than the sum of its proper divisors (26244264480).

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

13122131232 is a wasteful number, since it uses less digits than its factorization.

13122131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19527001 (or 19526993 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 13122131232 its reverse (23213122131), we get a palindrome (36335253363).

The spelling of 13122131232 in words is "thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19526981 39053962 58580943 78107924 117161886 136688867 156215848 234323772 273377734 312431696 410066601 468647544 546755468 624863392 820133202 937295088 1093510936 1640266404 1874590176 2187021872 3280532808 4374043744 6561065616 13122131232