Search a number
-
+
130220131320 = 233252315727069
BaseRepresentation
bin111100101000110111…
…0011000001111111000
3110110010021011002000200
41321101232120033320
54113142323200240
6135453341202200
712256655565426
oct1712156301770
9413107132020
10130220131320
1150253962044
12212a2560360
13c383689c56
14643480c116
1535c2347930
hex1e51b983f8

130220131320 has 96 divisors (see below), whose sum is σ = 441616125600. Its totient is φ = 33215567616.

The previous prime is 130220131319. The next prime is 130220131339. The reversal of 130220131320 is 23131022031.

130220131320 is a `hidden beast` number, since 130 + 2 + 201 + 313 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130220131293 and 130220131302.

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, 7855255 + ... + 7871814.

It is an arithmetic number, because the mean of its divisors is an integer number (4600167975).

Almost surely, 2130220131320 is an apocalyptic number.

130220131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130220131320 is an abundant number, since it is smaller than the sum of its proper divisors (311395994280).

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

130220131320 is a wasteful number, since it uses less digits than its factorization.

130220131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727109 (or 15727102 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130220131320 its reverse (23131022031), we get a palindrome (153351153351).

The spelling of 130220131320 in words is "one hundred thirty billion, two hundred twenty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 15727069 31454138 47181207 62908276 78635345 94362414 125816552 141543621 157270690 188724828 235906035 283087242 314541380 361722587 377449656 471812070 566174484 629082760 707718105 723445174 943624140 1085167761 1132348968 1415436210 1446890348 1808612935 1887248280 2170335522 2830872420 2893780696 3255503283 3617225870 4340671044 5425838805 5661744840 6511006566 7234451740 8681342088 10851677610 13022013132 14468903480 16277516415 21703355220 26044026264 32555032830 43406710440 65110065660 130220131320