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2131465729 = 172331414289
BaseRepresentation
bin111111100001011…
…1001011000000001
312111112201200022011
41333002321120001
513331123400404
6551300412521
7103551105541
oct17702713001
95445650264
102131465729
119a417a828
124b59a7141
1327c787033
1416311b321
15c71d0604
hex7f0b9601

2131465729 has 32 divisors (see below), whose sum is σ = 2490808320. Its totient is φ = 1811251200.

The previous prime is 2131465691. The next prime is 2131465747. The reversal of 2131465729 is 9275641312.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2131465729 - 27 = 2131465601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2131465691 and 2131465700.

It is not an unprimeable number, because it can be changed into a prime (2131465129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494817 + ... + 499105.

It is an arithmetic number, because the mean of its divisors is an integer number (77837760).

Almost surely, 22131465729 is an apocalyptic number.

It is an amenable number.

2131465729 is a deficient number, since it is larger than the sum of its proper divisors (359342591).

2131465729 is a wasteful number, since it uses less digits than its factorization.

2131465729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401.

The product of its digits is 90720, while the sum is 40.

The square root of 2131465729 is about 46167.7996984912. The cubic root of 2131465729 is about 1286.9434130996.

The spelling of 2131465729 in words is "two billion, one hundred thirty-one million, four hundred sixty-five thousand, seven hundred twenty-nine".

Divisors: 1 17 23 31 41 391 527 697 713 943 1271 4289 12121 16031 21607 29233 72913 98647 132959 175849 496961 1676999 2260303 2989433 3058057 4044527 5451319 51986969 68756959 92672423 125380337 2131465729