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112102100 = 225211223457
BaseRepresentation
bin1101010111010…
…00101011010100
321210221101011122
412223220223110
5212144231400
615042423112
72530565165
oct653505324
9253841148
10112102100
1158307a70
1231661a98
131a2c0106
1410c6176c
159c95685
hex6ae8ad4

112102100 has 72 divisors (see below), whose sum is σ = 267149568. Its totient is φ = 40492800.

The previous prime is 112102099. The next prime is 112102121. The reversal of 112102100 is 1201211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245072 + ... + 245528.

Almost surely, 2112102100 is an apocalyptic number.

112102100 is a gapful number since it is divisible by the number (10) 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 112102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133574784).

112102100 is an abundant number, since it is smaller than the sum of its proper divisors (155047468).

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

112102100 is a wasteful number, since it uses less digits than its factorization.

112102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 112102100 is about 10587.8279169998. The cubic root of 112102100 is about 482.1748818757.

Adding to 112102100 its reverse (1201211), we get a palindrome (113303311).

The spelling of 112102100 in words is "one hundred twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 223 275 446 457 550 892 914 1100 1115 1828 2230 2285 2453 4460 4570 4906 5027 5575 9140 9812 10054 11150 11425 12265 20108 22300 22850 24530 25135 45700 49060 50270 61325 100540 101911 122650 125675 203822 245300 251350 407644 502700 509555 1019110 1121021 2038220 2242042 2547775 4484084 5095550 5605105 10191100 11210210 22420420 28025525 56051050 112102100