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112313120101 = 7137183920719
BaseRepresentation
bin110100010011001100…
…0100011010101100101
3101201220021221122121221
41220212120203111211
53320004124320401
6123332415540341
711054136524560
oct1504630432545
9351807848557
10112313120101
11436a4912516
121992552a6b1
13a78b7b6b20
1456164a94d7
152dc520b7a1
hex1a26623565

112313120101 has 32 divisors (see below), whose sum is σ = 140352307200. Its totient is φ = 87502887360.

The previous prime is 112313120089. The next prime is 112313120149. The reversal of 112313120101 is 101021313211.

It is a happy number.

It is not a de Polignac number, because 112313120101 - 227 = 112178902373 is a prime.

It is a super-3 number, since 3×1123131201013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112313120401) 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, 5410420 + ... + 5431138.

It is an arithmetic number, because the mean of its divisors is an integer number (4386009600).

Almost surely, 2112313120101 is an apocalyptic number.

It is an amenable number.

112313120101 is a deficient number, since it is larger than the sum of its proper divisors (28039187099).

112313120101 is a wasteful number, since it uses less digits than its factorization.

112313120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21649.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 112313120101 its reverse (101021313211), we get a palindrome (213334433312).

The spelling of 112313120101 in words is "one hundred twelve billion, three hundred thirteen million, one hundred twenty thousand, one hundred one".

Divisors: 1 7 13 71 91 497 839 923 5873 6461 10907 20719 59569 76349 145033 269347 416983 774397 1471049 1885429 5420779 10297343 17383241 19123637 121682687 133865459 225982133 1234210111 1581874931 8639470777 16044731443 112313120101