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100091771 = 1323716007
BaseRepresentation
bin1011111011101…
…00011101111011
320222100012002122
411331310131323
5201110414041
613533151455
72323523513
oct575643573
9228305078
10100091771
115155447a
122962b58b
1317976500
14d416843
158bc1c4b
hex5f7477b

100091771 has 12 divisors (see below), whose sum is σ = 111319632. Its totient is φ = 89889696.

The previous prime is 100091749. The next prime is 100091773. The reversal of 100091771 is 177190001.

It is a de Polignac number, because none of the positive numbers 2k-100091771 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100091771.

It is not an unprimeable number, because it can be changed into a prime (100091773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1751 + ... + 14256.

It is an arithmetic number, because the mean of its divisors is an integer number (9276636).

Almost surely, 2100091771 is an apocalyptic number.

100091771 is a deficient number, since it is larger than the sum of its proper divisors (11227861).

100091771 is a wasteful number, since it uses less digits than its factorization.

100091771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16070 (or 16057 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 26.

The square root of 100091771 is about 10004.5874977432. The cubic root of 100091771 is about 464.3008276985.

The spelling of 100091771 in words is "one hundred million, ninety-one thousand, seven hundred seventy-one".

Divisors: 1 13 37 169 481 6253 16007 208091 592259 2705183 7699367 100091771