Search a number
-
+
130132301280 = 2535793431759
BaseRepresentation
bin111100100110001111…
…1010101010111100000
3110102220010212211212020
41321030133111113200
54113002332120110
6135440522501440
712254541211242
oct1711437252740
9412803784766
10130132301280
1150209323033
1221279064880
13c36b417907
146426ca8092
1535b9798d70
hex1e4c7d55e0

130132301280 has 96 divisors (see below), whose sum is σ = 415105689600. Its totient is φ = 34262671872.

The previous prime is 130132301213. The next prime is 130132301281. The reversal of 130132301280 is 82103231031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130132301280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130132301281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1677960 + ... + 1753799.

It is an arithmetic number, because the mean of its divisors is an integer number (4324017600).

Almost surely, 2130132301280 is an apocalyptic number.

130132301280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130132301280 is an abundant number, since it is smaller than the sum of its proper divisors (284973388320).

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

130132301280 is a wasteful number, since it uses less digits than its factorization.

130132301280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431856 (or 3431848 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 130132301280 in words is "one hundred thirty billion, one hundred thirty-two million, three hundred one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 948 1185 1264 1580 1896 2370 2528 3160 3792 4740 6320 7584 9480 12640 18960 37920 3431759 6863518 10295277 13727036 17158795 20590554 27454072 34317590 41181108 51476385 54908144 68635180 82362216 102952770 109816288 137270360 164724432 205905540 271108961 274540720 329448864 411811080 542217922 549081440 813326883 823622160 1084435844 1355544805 1626653766 1647244320 2168871688 2711089610 3253307532 4066634415 4337743376 5422179220 6506615064 8133268830 8675486752 10844358440 13013230128 16266537660 21688716880 26026460256 32533075320 43377433760 65066150640 130132301280