Base | Representation |
---|---|
bin | 111100111111010101… |
… | …0011010010101010000 |
3 | 110112001210210220222100 |
4 | 1321332222122111100 |
5 | 4121213330103000 |
6 | 140100232440400 |
7 | 12314442122631 |
oct | 1717652322520 |
9 | 415053726870 |
10 | 130974066000 |
11 | 5060049a358 |
12 | 21472b49100 |
13 | c47393164b |
14 | 64a69c5888 |
15 | 3618620a00 |
hex | 1e7ea9a550 |
130974066000 has 120 divisors (see below), whose sum is σ = 457448817384. Its totient is φ = 34926412800.
The previous prime is 130974065947. The next prime is 130974066011. The reversal of 130974066000 is 660479031.
130974066000 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 7 + 40 + 6 + 600 + 0 = 666.
130974066000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2804337936 + 128169728064 = 52956^2 + 358008^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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, 3620169 + ... + 3656168.
Almost surely, 2130974066000 is an apocalyptic number.
130974066000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
130974066000 is an abundant number, since it is smaller than the sum of its proper divisors (326474751384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130974066000 is a wasteful number, since it uses less digits than its factorization.
130974066000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7276366 (or 7276347 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The spelling of 130974066000 in words is "one hundred thirty billion, nine hundred seventy-four million, sixty-six thousand".
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