Base | Representation |
---|---|
bin | 11110000010100000110110… |
… | …001010000001001101100110 |
3 | 122022202222120222001212011000 |
4 | 132002200312022001031212 |
5 | 114304024140232333110 |
6 | 1144552214134054130 |
7 | 36553633423403325 |
oct | 3602406612011546 |
9 | 568688528055130 |
10 | 132114102621030 |
11 | 391063047a4012 |
12 | 129987217aa346 |
13 | 58943ca28865a |
14 | 248a4dca5a0bc |
15 | 10418ce9151c0 |
hex | 782836281366 |
132114102621030 has 128 divisors (see below), whose sum is σ = 374302770595200. Its totient is φ = 33096244833792.
The previous prime is 132114102621019. The next prime is 132114102621047. The reversal of 132114102621030 is 30126201411231.
132114102621030 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 4 + 1 + 0 + 2 + 621 + 0 + 30 = 666.
It is a super-2 number, since 2×1321141026210302 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 132114102620985 and 132114102621003.
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 63 ways as a sum of consecutive naturals, for example, 227721237 + ... + 228300656.
It is an arithmetic number, because the mean of its divisors is an integer number (2924240395275).
Almost surely, 2132114102621030 is an apocalyptic number.
132114102621030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
132114102621030 is an abundant number, since it is smaller than the sum of its proper divisors (242188667974170).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132114102621030 is a wasteful number, since it uses less digits than its factorization.
132114102621030 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 456021975 (or 456021969 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The spelling of 132114102621030 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred two million, six hundred twenty-one thousand, thirty".
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