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100490975 = 52132411283
BaseRepresentation
bin1011111110101…
…01111011011111
321000002110200222
411333111323133
5201211202400
613545511555
72330105414
oct577257337
9230073628
10100490975
11517a73a2
12297a25bb
1317a86120
14d4bc10b
158c50185
hex5fd5edf

100490975 has 24 divisors (see below), whose sum is σ = 134855952. Its totient is φ = 73843200.

The previous prime is 100490947. The next prime is 100490977. The reversal of 100490975 is 579094001.

It is a de Polignac number, because none of the positive numbers 2k-100490975 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100490977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77684 + ... + 78966.

It is an arithmetic number, because the mean of its divisors is an integer number (5618998).

Almost surely, 2100490975 is an apocalyptic number.

100490975 is a deficient number, since it is larger than the sum of its proper divisors (34364977).

100490975 is a wasteful number, since it uses less digits than its factorization.

100490975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 100490975 is about 10024.5186916879. The cubic root of 100490975 is about 464.9172782283.

The spelling of 100490975 in words is "one hundred million, four hundred ninety thousand, nine hundred seventy-five".

Divisors: 1 5 13 25 65 241 325 1205 1283 3133 6025 6415 15665 16679 32075 78325 83395 309203 416975 1546015 4019639 7730075 20098195 100490975