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2117430816381 = 32307823931169
BaseRepresentation
bin11110110100000000101…
…101100010111001111101
321111102110101122102002200
4132310000231202321331
5234142444242111011
64300422334542113
7305656623655146
oct36640055427175
97442411572080
102117430816381
11746aa7549261
122a2457367939
131248993a823a
14746ac8d6acd
153a12c63d856
hex1ed00b62e7d

2117430816381 has 24 divisors (see below), whose sum is σ = 3072205456320. Its totient is φ = 1405311296256.

The previous prime is 2117430816379. The next prime is 2117430816383. The reversal of 2117430816381 is 1836180347112.

2117430816381 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 4 + 3 + 0 + 8 + 1 + 638 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2117430816379) and next prime (2117430816383).

It is not a de Polignac number, because 2117430816381 - 21 = 2117430816379 is a prime.

It is a super-2 number, since 2×21174308163812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117430816383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1808365 + ... + 2739533.

It is an arithmetic number, because the mean of its divisors is an integer number (128008560680).

Almost surely, 22117430816381 is an apocalyptic number.

It is an amenable number.

2117430816381 is a deficient number, since it is larger than the sum of its proper divisors (954774639939).

2117430816381 is a wasteful number, since it uses less digits than its factorization.

2117430816381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932305 (or 932302 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2117430816381 in words is "two trillion, one hundred seventeen billion, four hundred thirty million, eight hundred sixteen thousand, three hundred eighty-one".

Divisors: 1 3 9 307 823 921 2469 2763 7407 252661 757983 931169 2273949 2793507 8380521 285868883 766352087 857606649 2299056261 2572819947 6897168783 235270090709 705810272127 2117430816381