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112034133024 = 25311167635287
BaseRepresentation
bin110100001010111000…
…0010011010000100000
3101201011211222122022020
41220111300103100200
53313421214224044
6123245012141440
711044211263302
oct1502560232040
9351154878266
10112034133024
1143571390390
1219868007880
13a745a65508
1455cb405972
152daa99da19
hex1a15c13420

112034133024 has 96 divisors (see below), whose sum is σ = 322746633216. Its totient is φ = 33746392320.

The previous prime is 112034133019. The next prime is 112034133041. The reversal of 112034133024 is 420331430211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 112034132985 and 112034133003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141292 + ... + 493995.

It is an arithmetic number, because the mean of its divisors is an integer number (3361944096).

Almost surely, 2112034133024 is an apocalyptic number.

It is an amenable number.

112034133024 is an abundant number, since it is smaller than the sum of its proper divisors (210712500192).

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

112034133024 is a wasteful number, since it uses less digits than its factorization.

112034133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635478 (or 635470 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112034133024 its reverse (420331430211), we get a palindrome (532365563235).

The spelling of 112034133024 in words is "one hundred twelve billion, thirty-four million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 167 176 264 334 352 501 528 668 1002 1056 1336 1837 2004 2672 3674 4008 5344 5511 7348 8016 11022 14696 16032 22044 29392 44088 58784 88176 176352 635287 1270574 1905861 2541148 3811722 5082296 6988157 7623444 10164592 13976314 15246888 20329184 20964471 27952628 30493776 41928942 55905256 60987552 83857884 106092929 111810512 167715768 212185858 223621024 318278787 335431536 424371716 636557574 670863072 848743432 1167022219 1273115148 1697486864 2334044438 2546230296 3394973728 3501066657 4668088876 5092460592 7002133314 9336177752 10184921184 14004266628 18672355504 28008533256 37344711008 56017066512 112034133024