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112981638402 = 2352039114013
BaseRepresentation
bin110100100111000111…
…0101111110100000010
3101210121212212220100000
41221032032233310002
53322341244412102
6123523020340430
711106535036533
oct1511616576402
9353555786300
10112981638402
1143a0820a186
1219a913a4716
13a867152999
14567b1aa68a
152e13c6101c
hex1a4e3afd02

112981638402 has 48 divisors (see below), whose sum is σ = 253986707520. Its totient is φ = 37641745872.

The previous prime is 112981638401. The next prime is 112981638467. The reversal of 112981638402 is 204836189211.

112981638402 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 8 + 1 + 638 + 4 + 0 + 2 = 666.

112981638402 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1129816384022 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112981638401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933948 + ... + 1047960.

It is an arithmetic number, because the mean of its divisors is an integer number (5291389740).

Almost surely, 2112981638402 is an apocalyptic number.

112981638402 is an abundant number, since it is smaller than the sum of its proper divisors (141005069118).

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

112981638402 is a wasteful number, since it uses less digits than its factorization.

112981638402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116069 (or 116057 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 112981638402 in words is "one hundred twelve billion, nine hundred eighty-one million, six hundred thirty-eight thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 2039 4078 6117 12234 18351 36702 55053 110106 114013 165159 228026 330318 342039 495477 684078 990954 1026117 2052234 3078351 6156702 9235053 18470106 27705159 55410318 232472507 464945014 697417521 1394835042 2092252563 4184505126 6276757689 12553515378 18830273067 37660546134 56490819201 112981638402