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100108631 = 7172773037
BaseRepresentation
bin1011111011110…
…00100101010111
320222101001020002
411331320211113
5201111434011
613533401515
72323623620
oct575704527
9228331202
10100108631
1151566107
122963929b
131798109c
14d41ca47
158bc6c3b
hex5f78957

100108631 has 16 divisors (see below), whose sum is σ = 121617216. Its totient is φ = 80441856.

The previous prime is 100108607. The next prime is 100108661. The reversal of 100108631 is 136801001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100108631 is a prime.

It is a super-2 number, since 2×1001086312 = 20043476001388322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100108661) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31445 + ... + 34481.

It is an arithmetic number, because the mean of its divisors is an integer number (7601076).

Almost surely, 2100108631 is an apocalyptic number.

100108631 is a deficient number, since it is larger than the sum of its proper divisors (21508585).

100108631 is a wasteful number, since it uses less digits than its factorization.

100108631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 100108631 is about 10005.4300757139. The cubic root of 100108631 is about 464.3268960169.

Adding to 100108631 its reverse (136801001), we get a palindrome (236909632).

The spelling of 100108631 in words is "one hundred million, one hundred eight thousand, six hundred thirty-one".

Divisors: 1 7 17 119 277 1939 3037 4709 21259 32963 51629 361403 841249 5888743 14301233 100108631