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100120296 = 23329971483
BaseRepresentation
bin1011111011110…
…11011011101000
320222101122020010
411331323123220
5201112322141
613533531520
72324002623
oct575733350
9228348203
10100120296
1151573951
1229643ba0
13179864a3
14d422dba
158bca416
hex5f7b6e8

100120296 has 64 divisors (see below), whose sum is σ = 261777600. Its totient is φ = 31868928.

The previous prime is 100120289. The next prime is 100120343. The reversal of 100120296 is 692021001.

It is a super-2 number, since 2×1001202962 = 20048147342255232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66771 + ... + 68253.

It is an arithmetic number, because the mean of its divisors is an integer number (4090275).

Almost surely, 2100120296 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 100120296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130888800).

100120296 is an abundant number, since it is smaller than the sum of its proper divisors (161657304).

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

100120296 is a wasteful number, since it uses less digits than its factorization.

100120296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 100120296 is about 10006.0129921962. The cubic root of 100120296 is about 464.3449303023.

Adding to 100120296 its reverse (692021001), we get a palindrome (792141297).

The spelling of 100120296 in words is "one hundred million, one hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 97 116 174 194 232 291 348 388 582 696 776 1164 1483 2328 2813 2966 4449 5626 5932 8439 8898 11252 11864 16878 17796 22504 33756 35592 43007 67512 86014 129021 143851 172028 258042 287702 344056 431553 516084 575404 863106 1032168 1150808 1726212 3452424 4171679 8343358 12515037 16686716 25030074 33373432 50060148 100120296