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100075701 = 31114920353
BaseRepresentation
bin1011111011100…
…00100010110101
320222022101001110
411331300202311
5201104410301
613532545233
72323425615
oct575604265
9228271043
10100075701
11515433a0
1229622219
131796c0bb
14d410a45
158bbc0d6
hex5f708b5

100075701 has 16 divisors (see below), whose sum is σ = 146548800. Its totient is φ = 60241920.

The previous prime is 100075697. The next prime is 100075739. The reversal of 100075701 is 107570001.

It is not a de Polignac number, because 100075701 - 22 = 100075697 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100075751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5260 + ... + 15093.

It is an arithmetic number, because the mean of its divisors is an integer number (9159300).

Almost surely, 2100075701 is an apocalyptic number.

100075701 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100075701 is a deficient number, since it is larger than the sum of its proper divisors (46473099).

100075701 is a wasteful number, since it uses less digits than its factorization.

100075701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20516.

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 100075701 is about 10003.7843339408. The cubic root of 100075701 is about 464.2759781244.

The spelling of 100075701 in words is "one hundred million, seventy-five thousand, seven hundred one".

Divisors: 1 3 11 33 149 447 1639 4917 20353 61059 223883 671649 3032597 9097791 33358567 100075701