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112211002013 = 1122931978057
BaseRepresentation
bin110100010000001001…
…1000000001010011101
3101201122011210111221112
41220200103000022131
53314302004031023
6123314331111405
711051456531315
oct1504023001235
9351564714845
10112211002013
1143652204700
12198b72a2565
13a7735b1216
145606ac6445
152dbb289478
hex1a204c029d

112211002013 has 12 divisors (see below), whose sum is σ = 127592451420. Its totient is φ = 98492412480.

The previous prime is 112211001997. The next prime is 112211002027. The reversal of 112211002013 is 310200112211.

It can be written as a sum of positive squares in 2 ways, for example, as 25031353369 + 87179648644 = 158213^2 + 295262^2 .

It is not a de Polignac number, because 112211002013 - 24 = 112211001997 is a prime.

It is a super-2 number, since 2×1122110020132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211002073) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15985520 + ... + 15992537.

It is an arithmetic number, because the mean of its divisors is an integer number (10632704285).

Almost surely, 2112211002013 is an apocalyptic number.

It is an amenable number.

112211002013 is a deficient number, since it is larger than the sum of its proper divisors (15381449407).

112211002013 is a wasteful number, since it uses less digits than its factorization.

112211002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31978108 (or 31978097 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 112211002013 its reverse (310200112211), we get a palindrome (422411114224).

The spelling of 112211002013 in words is "one hundred twelve billion, two hundred eleven million, two thousand, thirteen".

Divisors: 1 11 29 121 319 3509 31978057 351758627 927363653 3869344897 10201000183 112211002013