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100505316 = 22315495407
BaseRepresentation
bin1011111110110…
…01011011100100
321000010012101010
411333121123210
5201212132231
613550102220
72330165262
oct577313344
9230105333
10100505316
115180714a
12297aa970
1317a8c802
14d4c3432
158c54546
hex5fd96e4

100505316 has 24 divisors (see below), whose sum is σ = 234707200. Its totient is φ = 33473952.

The previous prime is 100505299. The next prime is 100505323. The reversal of 100505316 is 613505001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100505292 and 100505301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15885 + ... + 21291.

Almost surely, 2100505316 is an apocalyptic number.

It is an amenable number.

100505316 is an abundant number, since it is smaller than the sum of its proper divisors (134201884).

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

100505316 is a wasteful number, since it uses less digits than its factorization.

100505316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 100505316 is about 10025.2339623572. The cubic root of 100505316 is about 464.9393931878.

The spelling of 100505316 in words is "one hundred million, five hundred five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 1549 3098 4647 5407 6196 9294 10814 16221 18588 21628 32442 64884 8375443 16750886 25126329 33501772 50252658 100505316