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99901131 = 3115357119
BaseRepresentation
bin1011111010001…
…01111011001011
320221222111120220
411331011323023
5201033314011
613525121123
72322100641
oct575057313
9227874526
1099901131
1151434220
12295591a3
131790a7c5
14d3a7191
158b85506
hex5f45ecb

99901131 has 16 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 59402720.

The previous prime is 99901117. The next prime is 99901159. The reversal of 99901131 is 13110999.

It is a cyclic number.

It is not a de Polignac number, because 99901131 - 210 = 99900107 is a prime.

It is a super-2 number, since 2×999011312 = 19960471950158322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 99901092 and 99901101.

It is not an unprimeable number, because it can be changed into a prime (99905131) 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, 26811 + ... + 30308.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 299901131 is an apocalyptic number.

99901131 is a deficient number, since it is larger than the sum of its proper divisors (48153909).

99901131 is a wasteful number, since it uses less digits than its factorization.

99901131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57186.

The product of its (nonzero) digits is 2187, while the sum is 33.

The square root of 99901131 is about 9995.0553275107. The cubic root of 99901131 is about 464.0058631716.

The spelling of 99901131 in words is "ninety-nine million, nine hundred one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 53 159 583 1749 57119 171357 628309 1884927 3027307 9081921 33300377 99901131