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112257234738 = 2321143137157613
BaseRepresentation
bin110100010001100001…
…1010111011100110010
3101201202101210101022200
41220203003113130302
53314400323002423
6123323102044030
711052560515515
oct1504303273462
9351671711280
10112257234738
1143676311a70
121990a879616
13a78004a96c
14560ccbcd7c
152dc036cd43
hex1a230d7732

112257234738 has 192 divisors, whose sum is σ = 275678612352. Its totient is φ = 32720163840.

The previous prime is 112257234721. The next prime is 112257234743. The reversal of 112257234738 is 837432752211.

112257234738 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 572 + 3 + 4 + 73 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112257234693 and 112257234702.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183127320 + ... + 183127932.

It is an arithmetic number, because the mean of its divisors is an integer number (1435826106).

Almost surely, 2112257234738 is an apocalyptic number.

112257234738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112257234738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137839306176).

112257234738 is an abundant number, since it is smaller than the sum of its proper divisors (163421377614).

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

112257234738 is a wasteful number, since it uses less digits than its factorization.

112257234738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 966 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

Adding to 112257234738 its reverse (837432752211), we get a palindrome (949689986949).

The spelling of 112257234738 in words is "one hundred twelve billion, two hundred fifty-seven million, two hundred thirty-four thousand, seven hundred thirty-eight".