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112407151712 = 2531617612441
BaseRepresentation
bin110100010101111111…
…1010000010001100000
3101202010211212221202012
41220223333100101200
53320202212323322
6123350015212052
711056361011322
oct1505377202140
9352124787665
10112407151712
11437429a7899
1219950b17028
13a7a511ab2b
145624b85612
152dcd5d2ae2
hex1a2bfd0460

112407151712 has 96 divisors (see below), whose sum is σ = 232585613568. Its totient is φ = 53406720000.

The previous prime is 112407151711. The next prime is 112407151733. The reversal of 112407151712 is 217151704211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112407151711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46048412 + ... + 46050852.

It is an arithmetic number, because the mean of its divisors is an integer number (2422766808).

Almost surely, 2112407151712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112407151712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116292806784).

112407151712 is an abundant number, since it is smaller than the sum of its proper divisors (120178461856).

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

112407151712 is a wasteful number, since it uses less digits than its factorization.

112407151712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 32.

Adding to 112407151712 its reverse (217151704211), we get a palindrome (329558855923).

The spelling of 112407151712 in words is "one hundred twelve billion, four hundred seven million, one hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 31 32 61 62 122 124 244 248 488 496 761 976 992 1522 1891 1952 2441 3044 3782 4882 6088 7564 9764 12176 15128 19528 23591 24352 30256 39056 46421 47182 60512 75671 78112 92842 94364 148901 151342 185684 188728 297802 302684 371368 377456 595604 605368 742736 754912 1191208 1210736 1439051 1485472 1857601 2382416 2421472 2878102 3715202 4615931 4764832 5756204 7430404 9231862 11512408 14860808 18463724 23024816 29721616 36927448 46049632 57585631 59443232 73854896 113313661 115171262 147709792 226627322 230342524 453254644 460685048 906509288 921370096 1813018576 1842740192 3512723491 3626037152 7025446982 14050893964 28101787928 56203575856 112407151712