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100031296 = 2631127397
BaseRepresentation
bin1011111011001…
…01101101000000
320222020010010211
411331211231000
5201102000141
613532003504
72323152301
oct575455500
9228203124
10100031296
1151512aa2
1229600594
1317954b21
14d3dc7a8
158badd81
hex5f65b40

100031296 has 56 divisors (see below), whose sum is σ = 207036416. Its totient is φ = 47900160.

The previous prime is 100031293. The next prime is 100031297. The reversal of 100031296 is 692130001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251770 + ... + 252166.

Almost surely, 2100031296 is an apocalyptic number.

100031296 is a gapful number since it is divisible by the number (16) 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 100031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103518208).

100031296 is an abundant number, since it is smaller than the sum of its proper divisors (107005120).

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

100031296 is a wasteful number, since it uses less digits than its factorization.

100031296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 100031296 is about 10001.5646775892. The cubic root of 100031296 is about 464.2072993656.

Adding to 100031296 its reverse (692130001), we get a palindrome (792161297).

The spelling of 100031296 in words is "one hundred million, thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 248 254 397 496 508 794 992 1016 1588 1984 2032 3176 3937 4064 6352 7874 8128 12307 12704 15748 24614 25408 31496 49228 50419 62992 98456 100838 125984 196912 201676 251968 393824 403352 787648 806704 1562989 1613408 3125978 3226816 6251956 12503912 25007824 50015648 100031296