Search a number
-
+
112100233104 = 24321204964609
BaseRepresentation
bin110100001100110110…
…0011100111110010000
3101201100110100212120100
41220121230130332100
53314040124424404
6123255333012400
711045643155016
oct1503154347620
9351313325510
10112100233104
11435a5728352
1219886184100
13a756669ba2
1455d60d08b6
152db16a8d39
hex1a19b1cf90

112100233104 has 60 divisors (see below), whose sum is σ = 313755851500. Its totient is φ = 37363064832.

The previous prime is 112100233043. The next prime is 112100233139. The reversal of 112100233104 is 401332001211.

It can be written as a sum of positive squares in 2 ways, for example, as 83047712400 + 29052520704 = 288180^2 + 170448^2 .

It is a super-2 number, since 2×1121002331042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1702752 + ... + 1767360.

Almost surely, 2112100233104 is an apocalyptic number.

It is an amenable number.

112100233104 is an abundant number, since it is smaller than the sum of its proper divisors (201655618396).

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

112100233104 is a wasteful number, since it uses less digits than its factorization.

112100233104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76672 (or 76663 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112100233104 its reverse (401332001211), we get a palindrome (513432234315).

The spelling of 112100233104 in words is "one hundred twelve billion, one hundred million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12049 24098 36147 48196 64609 72294 96392 108441 129218 144588 192784 193827 216882 258436 289176 387654 433764 516872 578352 581481 775308 867528 1033744 1162962 1550616 1735056 2325924 3101232 4651848 9303696 778473841 1556947682 2335421523 3113895364 4670843046 6227790728 7006264569 9341686092 12455581456 14012529138 18683372184 28025058276 37366744368 56050116552 112100233104