Base | Representation |
---|---|
bin | 11101100110011010011100… |
… | …011010111100000000000000 |
3 | 122001221101021220001211010000 |
4 | 131212122130122330000000 |
5 | 114030404423230031320 |
6 | 1140513141023040000 |
7 | 36264263105016504 |
oct | 3546323432740000 |
9 | 561841256054100 |
10 | 130183083048960 |
11 | 38531376573757 |
12 | 1272642b140000 |
13 | 578429ab6b056 |
14 | 2420c7561c304 |
15 | 100b56279cc90 |
hex | 76669c6bc000 |
130183083048960 has 1200 divisors, whose sum is σ = 473963939928864. Its totient is φ = 34180423483392.
The previous prime is 130183083048959. The next prime is 130183083048973. The reversal of 130183083048960 is 69840380381031.
130183083048960 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 83 + 0 + 83 + 0 + 489 + 6 + 0 = 666.
It is a super-2 number, since 2×1301830830489602 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 130183083048897 and 130183083048906.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165416877687 + ... + 165416878473.
Almost surely, 2130183083048960 is an apocalyptic number.
130183083048960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130183083048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236981969964432).
130183083048960 is an abundant number, since it is smaller than the sum of its proper divisors (343780856879904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130183083048960 is an frugal number, since it uses more digits than its factorization.
130183083048960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1186 (or 1151 counting only the distinct ones).
The product of its (nonzero) digits is 2985984, while the sum is 54.
The spelling of 130183083048960 in words is "one hundred thirty trillion, one hundred eighty-three billion, eighty-three million, forty-eight thousand, nine hundred sixty".
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