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113111002212 = 223134127165257
BaseRepresentation
bin110100101010111110…
…0001110110001100100
3101210221220022021010020
41221111330032301210
53323122404032322
6123543521155140
711112665440515
oct1512574166144
9353856267106
10113111002212
1143a7423711a
1219b0878bab0
13a887ba7a10
145690442a0c
152e202b605c
hex1a55f0ec64

113111002212 has 96 divisors (see below), whose sum is σ = 292238897664. Its totient is φ = 33828710400.

The previous prime is 113111002187. The next prime is 113111002237. The reversal of 113111002212 is 212200111311.

It is an interprime number because it is at equal distance from previous prime (113111002187) and next prime (113111002237).

It is a junction number, because it is equal to n+sod(n) for n = 113111002191 and 113111002200.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1700688 + ... + 1765944.

It is an arithmetic number, because the mean of its divisors is an integer number (3044155184).

Almost surely, 2113111002212 is an apocalyptic number.

113111002212 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 113111002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146119448832).

113111002212 is an abundant number, since it is smaller than the sum of its proper divisors (179127895452).

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

113111002212 is a wasteful number, since it uses less digits than its factorization.

113111002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65589 (or 65587 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 113111002212 its reverse (212200111311), we get a palindrome (325311113523).

The spelling of 113111002212 in words is "one hundred thirteen billion, one hundred eleven million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 271 492 533 542 813 1066 1084 1599 1626 2132 3198 3252 3523 6396 7046 10569 11111 14092 21138 22222 33333 42276 44444 65257 66666 130514 133332 144443 195771 261028 288886 391542 433329 577772 783084 848341 866658 1696682 1733316 2545023 2675537 3393364 5090046 5351074 8026611 10180092 10702148 16053222 17684647 32106444 34781981 35369294 53053941 69563962 70738588 104345943 106107882 139127924 208691886 212215764 229900411 417383772 459800822 689701233 725070527 919601644 1379402466 1450141054 2175211581 2758804932 2900282108 4350423162 8700846324 9425916851 18851833702 28277750553 37703667404 56555501106 113111002212