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100991056 = 2431375503
BaseRepresentation
bin1100000010100…
…00000001010000
321001000212200111
412001100001100
5201323203211
614004331104
72334260365
oct601200120
9231025614
10100991056
1152009091
12299a3a94
1317bcc92a
14d5ac46c
158ced421
hex6050050

100991056 has 40 divisors (see below), whose sum is σ = 207478784. Its totient is φ = 47537280.

The previous prime is 100991041. The next prime is 100991063. The reversal of 100991056 is 650199001.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15601 + ... + 21103.

Almost surely, 2100991056 is an apocalyptic number.

100991056 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 100991056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103739392).

100991056 is an abundant number, since it is smaller than the sum of its proper divisors (106487728).

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

100991056 is a wasteful number, since it uses less digits than its factorization.

100991056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 31.

The square root of 100991056 is about 10049.4306306377. The cubic root of 100991056 is about 465.6872037432.

The spelling of 100991056 in words is "one hundred million, nine hundred ninety-one thousand, fifty-six".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 1147 2294 4588 5503 9176 11006 18352 22012 44024 88048 170593 203611 341186 407222 682372 814444 1364744 1628888 2729488 3257776 6311941 12623882 25247764 50495528 100991056