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11253601161 = 33112312491319
BaseRepresentation
bin10100111101100010…
…00101001110001001
31002001021122011122000
422132301011032021
5141021410214121
65100403421213
7545606013555
oct123661051611
932037564560
1011253601161
114855401130
122220984809
1310a462b1ca
1478a846865
1545ce85526
hex29ec45389

11253601161 has 64 divisors (see below), whose sum is σ = 19008000000. Its totient is φ = 6513661440.

The previous prime is 11253601159. The next prime is 11253601217. The reversal of 11253601161 is 16110635211.

11253601161 is a `hidden beast` number, since 1 + 1 + 2 + 53 + 601 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 11253601161 - 21 = 11253601159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11253601661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8531260 + ... + 8532578.

It is an arithmetic number, because the mean of its divisors is an integer number (297000000).

Almost surely, 211253601161 is an apocalyptic number.

11253601161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11253601161 is a deficient number, since it is larger than the sum of its proper divisors (7754398839).

11253601161 is a wasteful number, since it uses less digits than its factorization.

11253601161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11253601161 in words is "eleven billion, two hundred fifty-three million, six hundred one thousand, one hundred sixty-one".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 759 1249 1319 2277 3747 3957 6831 11241 11871 13739 14509 28727 30337 33723 35613 41217 43527 86181 91011 123651 130581 258543 273033 315997 333707 370953 391743 775629 819099 947991 1001121 1647431 2843973 3003363 4942293 8531919 9010089 14826879 18121741 37890913 44480637 54365223 113672739 163095669 341018217 416800043 489287007 1023054651 1250400129 3751200387 11253601161