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112131432432 = 243682311681
BaseRepresentation
bin110100001101110001…
…1011101111111110000
3101201102122001222000000
41220123203131333300
53314121121314212
6123302405430000
711046502310115
oct1503343357760
9351378058000
10112131432432
11436112a7918
121989470b300
13a75cc71a26
1455da2d290c
152db42bd1dc
hex1a1b8ddff0

112131432432 has 140 divisors (see below), whose sum is σ = 326156673744. Its totient is φ = 37328532480.

The previous prime is 112131432431. The next prime is 112131432461. The reversal of 112131432432 is 234234131211.

112131432432 is a `hidden beast` number, since 1 + 1 + 21 + 314 + 324 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112131432396 and 112131432405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131432431) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9593632 + ... + 9605312.

Almost surely, 2112131432432 is an apocalyptic number.

112131432432 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 112131432432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163078336872).

112131432432 is an abundant number, since it is smaller than the sum of its proper divisors (214025241312).

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

112131432432 is an equidigital number, since it uses as much as digits as its factorization.

112131432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12509 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 112131432432 its reverse (234234131211), we get a palindrome (346365563643).

The spelling of 112131432432 in words is "one hundred twelve billion, one hundred thirty-one million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 823 972 1296 1458 1646 1944 2469 2916 3292 3888 4938 5832 6584 7407 9876 11664 11681 13168 14814 19752 22221 23362 29628 35043 39504 44442 46724 59256 66663 70086 88884 93448 105129 118512 133326 140172 177768 186896 199989 210258 266652 280344 315387 355536 399978 420516 533304 560688 599967 630774 799956 841032 946161 1066608 1199934 1261548 1599912 1682064 1892322 2399868 2523096 2838483 3199824 3784644 4799736 5046192 5676966 7569288 8515449 9599472 9613463 11353932 15138576 17030898 19226926 22707864 28840389 34061796 38453852 45415728 57680778 68123592 76907704 86521167 115361556 136247184 153815408 173042334 230723112 259563501 346084668 461446224 519127002 692169336 778690503 1038254004 1384338672 1557381006 2076508008 2336071509 3114762012 4153016016 4672143018 6229524024 7008214527 9344286036 12459048048 14016429054 18688572072 28032858108 37377144144 56065716216 112131432432