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402165101 = 13891931801
BaseRepresentation
bin10111111110001…
…000110101101101
31001000202002210202
4113332020311231
51310423240401
6103523443245
712652230002
oct2776106555
91030662722
10402165101
11197014658
12b2826525
136541bc20
143b5a98a9
152549006b
hex17f88d6d

402165101 has 16 divisors (see below), whose sum is σ = 440480880. Its totient is φ = 364953600.

The previous prime is 402165067. The next prime is 402165109. The reversal of 402165101 is 101561204.

It can be written as a sum of positive squares in 8 ways, for example, as 168870025 + 233295076 = 12995^2 + 15274^2 .

It is a cyclic number.

It is not a de Polignac number, because 402165101 - 226 = 335056237 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 (402165109) 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, 222401 + ... + 224201.

It is an arithmetic number, because the mean of its divisors is an integer number (27530055).

Almost surely, 2402165101 is an apocalyptic number.

It is an amenable number.

402165101 is a deficient number, since it is larger than the sum of its proper divisors (38315779).

402165101 is a wasteful number, since it uses less digits than its factorization.

402165101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 402165101 is about 20054.0544778356. The cubic root of 402165101 is about 738.1332917540.

The spelling of 402165101 in words is "four hundred two million, one hundred sixty-five thousand, one hundred one".

Divisors: 1 13 89 193 1157 1801 2509 17177 23413 160289 223301 347593 2083757 4518709 30935777 402165101