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11257516161151 = 1310122937440563
BaseRepresentation
bin1010001111010001100001…
…0000000111100001111111
31110212012121122202002012121
42203310120100013201333
52433420343114124101
635535344224343411
72241220513346341
oct243643020074177
943765548662177
1011257516161151
113650316432297
121319947474b67
1363876b70bc80
142acc1c2a5291
15147c792990a1
hexa3d1840787f

11257516161151 has 16 divisors (see below), whose sum is σ = 12296978840160. Its totient is φ = 10243737763200.

The previous prime is 11257516161041. The next prime is 11257516161161. The reversal of 11257516161151 is 15116161575211.

It is a cyclic number.

It is not a de Polignac number, because 11257516161151 - 211 = 11257516159103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11257516161098 and 11257516161107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257516161161) 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, 18419605 + ... + 19020958.

It is an arithmetic number, because the mean of its divisors is an integer number (768561177510).

Almost surely, 211257516161151 is an apocalyptic number.

11257516161151 is a deficient number, since it is larger than the sum of its proper divisors (1039462679009).

11257516161151 is a wasteful number, since it uses less digits than its factorization.

11257516161151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37440906.

The product of its digits is 63000, while the sum is 43.

The spelling of 11257516161151 in words is "eleven trillion, two hundred fifty-seven billion, five hundred sixteen million, one hundred sixty-one thousand, one hundred fifty-one".

Divisors: 1 13 101 229 1313 2977 23129 300677 37440563 486727319 3781496863 8573888927 49159459219 111460556051 865962781627 11257516161151