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100023112 = 2372318231
BaseRepresentation
bin1011111011000…
…11101101001000
320222012200220201
411331203231020
5201101214422
613531501544
72323116400
oct575435510
9228180821
10100023112
1151507932
12295b78b4
1317951197
14d3d9800
158bab727
hex5f63b48

100023112 has 48 divisors (see below), whose sum is σ = 225227520. Its totient is φ = 41479200.

The previous prime is 100023109. The next prime is 100023127. The reversal of 100023112 is 211320001.

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, 8037 + ... + 16267.

It is an arithmetic number, because the mean of its divisors is an integer number (4692240).

Almost surely, 2100023112 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 100023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112613760).

100023112 is an abundant number, since it is smaller than the sum of its proper divisors (125204408).

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

100023112 is a wasteful number, since it uses less digits than its factorization.

100023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100023112 is about 10001.1555332371. The cubic root of 100023112 is about 464.1946394071.

Adding to 100023112 its reverse (211320001), we get a palindrome (311343113).

The spelling of 100023112 in words is "one hundred million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1519 1736 3038 6076 8231 12152 16462 32924 57617 65848 115234 230468 255161 403319 460936 510322 806638 1020644 1613276 1786127 2041288 3226552 3572254 7144508 12502889 14289016 25005778 50011556 100023112