Search a number
-
+
130145545032 = 233171916788641
BaseRepresentation
bin111100100110101000…
…1110110101101001000
3110102221001210200212120
41321031101312231020
54113014224420112
6135442114411240
712255061610616
oct1711521665510
9412831720776
10130145545032
1150215849288
1221281590b20
13c3710a3a59
1464289546b6
1535baa12e8c
hex1e4d476b48

130145545032 has 64 divisors (see below), whose sum is σ = 362634667200. Its totient is φ = 38681026560.

The previous prime is 130145544959. The next prime is 130145545073. The reversal of 130145545032 is 230545541031.

130145545032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130145544984 and 130145545002.

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 15 ways as a sum of consecutive naturals, for example, 8386569 + ... + 8402072.

It is an arithmetic number, because the mean of its divisors is an integer number (5666166675).

Almost surely, 2130145545032 is an apocalyptic number.

130145545032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130145545032 is an abundant number, since it is smaller than the sum of its proper divisors (232489122168).

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

130145545032 is a wasteful number, since it uses less digits than its factorization.

130145545032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16788686 (or 16788682 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 130145545032 in words is "one hundred thirty billion, one hundred forty-five million, five hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 7752 16788641 33577282 50365923 67154564 100731846 134309128 201463692 285406897 318984179 402927384 570813794 637968358 856220691 956952537 1141627588 1275936716 1712441382 1913905074 2283255176 2551873432 3424882764 3827810148 5422731043 6849765528 7655620296 10845462086 16268193129 21690924172 32536386258 43381848344 65072772516 130145545032