Search a number
-
+
10000001160 = 2332527777781
BaseRepresentation
bin10010101000000101…
…11110100010001000
3221210220202200201100
421110002332202020
5130440000014120
64332142421400
7502544415222
oct112402764210
927726680640
1010000001160
114271815976
121b30b91860
13c349bab66
146ac163412
153d7dad490
hex2540be888

10000001160 has 48 divisors (see below), whose sum is σ = 32500004940. Its totient is φ = 2666666880.

The previous prime is 10000001159. The next prime is 10000001251. The reversal of 10000001160 is 6110000001.

It can be written as a sum of positive squares in 2 ways, for example, as 9093148164 + 906852996 = 95358^2 + 30114^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13888531 + ... + 13889250.

Almost surely, 210000001160 is an apocalyptic number.

10000001160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000001160 is an abundant number, since it is smaller than the sum of its proper divisors (22500003780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000001160 is a wasteful number, since it uses less digits than its factorization.

10000001160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27777798 (or 27777791 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10000001160 its reverse (6110000001), we get a palindrome (16110001161).

The spelling of 10000001160 in words is "ten billion, one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 27777781 55555562 83333343 111111124 138888905 166666686 222222248 250000029 277777810 333333372 416666715 500000058 555555620 666666744 833333430 1000000116 1111111240 1250000145 1666666860 2000000232 2500000290 3333333720 5000000580 10000001160