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10511123137 = 174115199871
BaseRepresentation
bin10011100101000001…
…10000001011000001
31000010112112101020221
421302200300023001
5133011321420022
64455001503041
7521322033604
oct116240601301
930115471227
1010511123137
114504289429
1220541a1a81
13cb68683b8
14719db233b
15417bc1cc7
hex2728302c1

10511123137 has 16 divisors (see below), whose sum is σ = 11476491264. Its totient is φ = 9587520000.

The previous prime is 10511123053. The next prime is 10511123143. The reversal of 10511123137 is 73132111501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10511123137 is a prime.

It is a super-2 number, since 2×105111231372 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10511123837) 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, 55312 + ... + 155182.

It is an arithmetic number, because the mean of its divisors is an integer number (717280704).

Almost surely, 210511123137 is an apocalyptic number.

10511123137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10511123137 is a deficient number, since it is larger than the sum of its proper divisors (965368127).

10511123137 is a wasteful number, since it uses less digits than its factorization.

10511123137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100080.

The product of its (nonzero) digits is 630, while the sum is 25.

Adding to 10511123137 its reverse (73132111501), we get a palindrome (83643234638).

The spelling of 10511123137 in words is "ten billion, five hundred eleven million, one hundred twenty-three thousand, one hundred thirty-seven".

Divisors: 1 17 41 151 697 2567 6191 99871 105247 1697807 4094711 15080521 69610087 256368857 618301361 10511123137