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112527242136 = 23325330796053
BaseRepresentation
bin110100011001100100…
…1010111001110011000
3101202110012212011211200
41220303021113032120
53320423433222021
6123405545154200
711062346530221
oct1506311271630
9352405764750
10112527242136
11437a4770581
121998518b960
13a7c3c76c5a
145636ac6248
152dd8e05126
hex1a33257398

112527242136 has 96 divisors (see below), whose sum is σ = 311526174960. Its totient is φ = 36681106176.

The previous prime is 112527242131. The next prime is 112527242137. The reversal of 112527242136 is 631242725211.

112527242136 is a `hidden beast` number, since 112 + 52 + 72 + 421 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112527242136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112527242131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1123486 + ... + 1219538.

Almost surely, 2112527242136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112527242136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155763087480).

112527242136 is an abundant number, since it is smaller than the sum of its proper divisors (198998932824).

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

112527242136 is a wasteful number, since it uses less digits than its factorization.

112527242136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96425 (or 96418 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

Adding to 112527242136 its reverse (631242725211), we get a palindrome (743769967347).

The spelling of 112527242136 in words is "one hundred twelve billion, five hundred twenty-seven million, two hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 307 318 424 477 614 636 921 954 1228 1272 1842 1908 2456 2763 3684 3816 5526 7368 11052 16271 22104 32542 48813 65084 96053 97626 130168 146439 192106 195252 288159 292878 384212 390504 576318 585756 768424 864477 1152636 1171512 1728954 2305272 3457908 5090809 6915816 10181618 15272427 20363236 29488271 30544854 40726472 45817281 58976542 61089708 88464813 91634562 117953084 122179416 176929626 183269124 235906168 265394439 353859252 366538248 530788878 707718504 1061577756 1562878363 2123155512 3125756726 4688635089 6251513452 9377270178 12503026904 14065905267 18754540356 28131810534 37509080712 56263621068 112527242136