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105515024130 = 232510311382419
BaseRepresentation
bin110001001000100101…
…1110111111100000010
3101002100112010121002200
41202101023313330002
53212043321233010
6120250053054030
710423521623025
oct1422113677402
9332315117080
10105515024130
114082653138a
1218548927316
139c47283a29
14516d6a91bc
152b284c5cc0
hex18912f7f02

105515024130 has 48 divisors (see below), whose sum is σ = 277002573120. Its totient is φ = 27864159264.

The previous prime is 105515024123. The next prime is 105515024177. The reversal of 105515024130 is 31420515501.

105515024130 is a `hidden beast` number, since 10 + 5 + 515 + 0 + 2 + 4 + 130 = 666.

It is a super-2 number, since 2×1055150241302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105515024094 and 105515024103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5681940 + ... + 5700479.

It is an arithmetic number, because the mean of its divisors is an integer number (5770886940).

Almost surely, 2105515024130 is an apocalyptic number.

105515024130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105515024130 is an abundant number, since it is smaller than the sum of its proper divisors (171487548990).

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

105515024130 is a wasteful number, since it uses less digits than its factorization.

105515024130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11382535 (or 11382532 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 105515024130 its reverse (31420515501), we get a palindrome (136935539631).

The spelling of 105515024130 in words is "one hundred five billion, five hundred fifteen million, twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 11382419 22764838 34147257 56912095 68294514 102441771 113824190 170736285 204883542 341472570 512208855 1024417710 1172389157 2344778314 3517167471 5861945785 7034334942 10551502413 11723891570 17585837355 21103004826 35171674710 52757512065 105515024130