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13022332023232 = 267135589214381
BaseRepresentation
bin1011110101111111111101…
…1110010111000111000000
31201002220220201010212000001
42331133333132113013000
53201324213444220412
643410213213205344
72512555345563010
oct275377736270700
951086821125001
1013022332023232
114170815a32344
121563994790854
1373600153b04c
143303d9d13c40
15178b19eec957
hexbd7ff7971c0

13022332023232 has 56 divisors (see below), whose sum is σ = 29533144266080. Its totient is φ = 5580932244480.

The previous prime is 13022332023191. The next prime is 13022332023247. The reversal of 13022332023232 is 23232023322031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×130223320232322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13022332023232.

It is a congruent number.

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, 60636682 + ... + 60851062.

It is an arithmetic number, because the mean of its divisors is an integer number (527377576180).

Almost surely, 213022332023232 is an apocalyptic number.

It is an amenable number.

13022332023232 is an abundant number, since it is smaller than the sum of its proper divisors (16510812242848).

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

13022332023232 is a wasteful number, since it uses less digits than its factorization.

13022332023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349989 (or 349979 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 13022332023232 its reverse (23232023322031), we get a palindrome (36254355345263).

The spelling of 13022332023232 in words is "thirteen trillion, twenty-two billion, three hundred thirty-two million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 135589 214381 271178 428762 542356 857524 949123 1084712 1500667 1715048 1898246 2169424 3001334 3430096 3796492 4338848 6002668 6860192 7592984 8677696 12005336 13720384 15185968 24010672 30371936 48021344 60743872 96042688 29067705409 58135410818 116270821636 203473937863 232541643272 406947875726 465083286544 813895751452 930166573088 1627791502904 1860333146176 3255583005808 6511166011616 13022332023232