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112451402412 = 223341131193859
BaseRepresentation
bin110100010111010100…
…0000011101010101100
3101202020221011010022000
41220232220003222230
53320300024334122
6123354235452300
711060436102156
oct1505650035254
9352227133260
10112451402412
1143765981018
12199638b7090
13a7b134238b
14562a9c3ad6
152dd24240ac
hex1a2ea03aac

112451402412 has 96 divisors (see below), whose sum is σ = 300932755200. Its totient is φ = 36290217600.

The previous prime is 112451402387. The next prime is 112451402417. The reversal of 112451402412 is 214204154211.

112451402412 is a `hidden beast` number, since 1 + 1 + 245 + 1 + 4 + 0 + 2 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112451402417) 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 31 ways as a sum of consecutive naturals, for example, 483139 + ... + 676997.

It is an arithmetic number, because the mean of its divisors is an integer number (3134716200).

Almost surely, 2112451402412 is an apocalyptic number.

112451402412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112451402412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150466377600).

112451402412 is an abundant number, since it is smaller than the sum of its proper divisors (188481352788).

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

112451402412 is a wasteful number, since it uses less digits than its factorization.

112451402412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194044 (or 194036 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 112451402412 its reverse (214204154211), we get a palindrome (326655556623).

The spelling of 112451402412 in words is "one hundred twelve billion, four hundred fifty-one million, four hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 131 164 246 262 369 393 492 524 738 786 1107 1179 1476 1572 2214 2358 3537 4428 4716 5371 7074 10742 14148 16113 21484 32226 48339 64452 96678 145017 193356 193859 290034 387718 580068 581577 775436 1163154 1744731 2326308 3489462 5234193 6978924 7948219 10468386 15896438 20936772 23844657 25395529 31792876 47689314 50791058 71533971 76186587 95378628 101582116 143067942 152373174 214601913 228559761 286135884 304746348 429203826 457119522 685679283 858407652 914239044 1041216689 1371358566 2082433378 2742717132 3123650067 4164866756 6247300134 9370950201 12494600268 18741900402 28112850603 37483800804 56225701206 112451402412