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10124111540 = 225506205577
BaseRepresentation
bin10010110110111000…
…11010111010110100
3222010120022011011002
421123130122322310
5131213233032130
64352334502432
7505612346114
oct113334327264
928116264132
1010124111540
114325884934
121b66664a18
13c5462395a
146c082d044
153e3c26b45
hex25b71aeb4

10124111540 has 12 divisors (see below), whose sum is σ = 21260634276. Its totient is φ = 4049644608.

The previous prime is 10124111537. The next prime is 10124111551. The reversal of 10124111540 is 4511142101.

It can be written as a sum of positive squares in 2 ways, for example, as 8090642704 + 2033468836 = 89948^2 + 45094^2 .

It is a super-2 number, since 2×101241115402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 506205577 = 10124111540 / (1 + 0 + 1 + 2 + 4 + 1 + 1 + 1 + 5 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253102769 + ... + 253102808.

It is an arithmetic number, because the mean of its divisors is an integer number (1771719523).

Almost surely, 210124111540 is an apocalyptic number.

10124111540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124111540 is an abundant number, since it is smaller than the sum of its proper divisors (11136522736).

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

10124111540 is a wasteful number, since it uses less digits than its factorization.

10124111540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506205586 (or 506205584 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 10124111540 its reverse (4511142101), we get a palindrome (14635253641).

The spelling of 10124111540 in words is "ten billion, one hundred twenty-four million, one hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 506205577 1012411154 2024822308 2531027885 5062055770 10124111540