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112156211136 = 26310126321991
BaseRepresentation
bin110100001110100000…
…1111111011111000000
3101201111100200211222210
41220131001333133000
53314143442224021
6123305052502120
711050223031204
oct1503501773700
9351440624883
10112156211136
1143624291492
12198a0a7a940
13a765139298
1455dd702b04
152db6564e76
hex1a1d07f7c0

112156211136 has 112 divisors (see below), whose sum is σ = 300837892608. Its totient is φ = 36872832000.

The previous prime is 112156211119. The next prime is 112156211143. The reversal of 112156211136 is 631112651211.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5089101 + ... + 5111091.

Almost surely, 2112156211136 is an apocalyptic number.

112156211136 is a gapful number since it is divisible by the number (16) 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 112156211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150418946304).

112156211136 is an abundant number, since it is smaller than the sum of its proper divisors (188681681472).

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

112156211136 is a wasteful number, since it uses less digits than its factorization.

112156211136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22370 (or 22360 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

Adding to 112156211136 its reverse (631112651211), we get a palindrome (743268862347).

The spelling of 112156211136 in words is "one hundred twelve billion, one hundred fifty-six million, two hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 263 303 404 526 606 789 808 1052 1212 1578 1616 2104 2424 3156 3232 4208 4848 6312 6464 8416 9696 12624 16832 19392 21991 25248 26563 43982 50496 53126 65973 79689 87964 106252 131946 159378 175928 212504 263892 318756 351856 425008 527784 637512 703712 850016 1055568 1275024 1407424 1700032 2111136 2221091 2550048 4222272 4442182 5100096 5783633 6663273 8884364 11567266 13326546 17350899 17768728 23134532 26653092 34701798 35537456 46269064 53306184 69403596 71074912 92538128 106612368 138807192 142149824 185076256 213224736 277614384 370152512 426449472 555228768 584146933 1110457536 1168293866 1752440799 2336587732 3504881598 4673175464 7009763196 9346350928 14019526392 18692701856 28039052784 37385403712 56078105568 112156211136