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90100101010111 = 4125734924500947
BaseRepresentation
bin10100011111001000010000…
…100000111101001010111111
3102211000111002221210110112021
4110133020100200331022333
543302200001324310421
6515343225345421011
724656342332153363
oct2437102040751277
9384014087713467
1090100101010111
112678826912a695
12a13200563a767
133b3753170566a
141836c223192a3
15a63a9c8ba341
hex51f21083d2bf

90100101010111 has 16 divisors (see below), whose sum is σ = 92922295384800. Its totient is φ = 87309611089920.

The previous prime is 90100101010061. The next prime is 90100101010189. The reversal of 90100101010111 is 11101010100109.

It is a cyclic number.

It is not a de Polignac number, because 90100101010111 - 215 = 90100100977343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90100101010211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8573061 + ... + 15927886.

It is an arithmetic number, because the mean of its divisors is an integer number (5807643461550).

Almost surely, 290100101010111 is an apocalyptic number.

90100101010111 is a deficient number, since it is larger than the sum of its proper divisors (2822194374689).

90100101010111 is a wasteful number, since it uses less digits than its factorization.

90100101010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24501594.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 90100101010111 in words is "ninety trillion, one hundred billion, one hundred one million, ten thousand, one hundred eleven".

Divisors: 1 41 257 349 10537 14309 89693 3677413 24500947 1004538827 6296743379 8550830503 258166478539 350584050623 2197563439271 90100101010111