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130534232130 = 2355163329557
BaseRepresentation
bin111100110010001110…
…0100101000001000010
3110110221011012001100000
41321210130211001002
54114313230412010
6135544441340430
712300521444301
oct1714434450102
9413834161300
10130534232130
11503a5197695
122136b797716
13c403784013
146464412438
1535debde7c0
hex1e64725042

130534232130 has 96 divisors (see below), whose sum is σ = 354119298624. Its totient is φ = 34595470656.

The previous prime is 130534232113. The next prime is 130534232159. The reversal of 130534232130 is 31232435031.

130534232130 is a `hidden beast` number, since 1 + 305 + 3 + 4 + 2 + 321 + 30 = 666.

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 = 130534232094 and 130534232103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231312 + ... + 560868.

It is an arithmetic number, because the mean of its divisors is an integer number (3688742694).

Almost surely, 2130534232130 is an apocalyptic number.

130534232130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130534232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177059649312).

130534232130 is an abundant number, since it is smaller than the sum of its proper divisors (223585066494).

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

130534232130 is a wasteful number, since it uses less digits than its factorization.

130534232130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329742 (or 329730 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 130534232130 its reverse (31232435031), we get a palindrome (161766667161).

The spelling of 130534232130 in words is "one hundred thirty billion, five hundred thirty-four million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 163 243 270 326 405 486 489 810 815 978 1215 1467 1630 2430 2445 2934 4401 4890 7335 8802 13203 14670 22005 26406 39609 44010 66015 79218 132030 198045 329557 396090 659114 988671 1647785 1977342 2966013 3295570 4943355 5932026 8898039 9886710 14830065 17796078 26694117 29660130 44490195 53388234 53717791 80082351 88980390 107435582 133470585 160164702 161153373 266941170 268588955 322306746 400411755 483460119 537177910 800823510 805766865 966920238 1450380357 1611533730 2417300595 2900760714 4351141071 4834601190 7251901785 8702282142 13053423213 14503803570 21755705355 26106846426 43511410710 65267116065 130534232130