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402114113 = 3123743263
BaseRepresentation
bin10111111101111…
…100011001000001
31001000122111212022
4113331330121001
51310420122423
6103522411225
712651625232
oct2775743101
91030574768
10402114113
11196a8a315
12b2800b15
136540195b
143b595089
152547edc8
hex17f7c641

402114113 has 24 divisors (see below), whose sum is σ = 438318144. Its totient is φ = 368413920.

The previous prime is 402114103. The next prime is 402114121. The reversal of 402114113 is 311411204.

It is a happy number.

It is not a de Polignac number, because 402114113 - 26 = 402114049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 402114091 and 402114100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402114103) 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 23 ways as a sum of consecutive naturals, for example, 1528820 + ... + 1529082.

It is an arithmetic number, because the mean of its divisors is an integer number (18263256).

Almost surely, 2402114113 is an apocalyptic number.

402114113 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

402114113 is a deficient number, since it is larger than the sum of its proper divisors (36204031).

402114113 is a wasteful number, since it uses less digits than its factorization.

402114113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 402114113 is about 20052.7831734151. The cubic root of 402114113 is about 738.1020959998.

Adding to 402114113 its reverse (311411204), we get a palindrome (713525317).

The spelling of 402114113 in words is "four hundred two million, one hundred fourteen thousand, one hundred thirteen".

Divisors: 1 31 37 43 263 961 1147 1333 1591 8153 9731 11309 35557 41323 49321 252743 301661 350579 418433 1528951 9351491 10867949 12971423 402114113