Search a number
-
+
131021131020 = 223513322952021
BaseRepresentation
bin111101000000101110…
…1111100110100001100
3110112012002101002001020
41322001131330310030
54121312402143040
6140105033314140
712315553144503
oct1720135746414
9415162332036
10131021131020
1150625015a6a
1221486865950
13c4805ccb80
1464acd5783a
15361c81acd0
hex1e8177cd0c

131021131020 has 96 divisors (see below), whose sum is σ = 395209053120. Its totient is φ = 32240747520.

The previous prime is 131021130941. The next prime is 131021131027. The reversal of 131021131020 is 20131120131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131021131027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2492610 + ... + 2544630.

It is an arithmetic number, because the mean of its divisors is an integer number (4116760970).

Almost surely, 2131021131020 is an apocalyptic number.

131021131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131021131020 is an abundant number, since it is smaller than the sum of its proper divisors (264187922100).

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

131021131020 is a wasteful number, since it uses less digits than its factorization.

131021131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55275 (or 55273 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131021131020 its reverse (20131120131), we get a palindrome (151152251151).

The spelling of 131021131020 in words is "one hundred thirty-one billion, twenty-one million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 3229 6458 9687 12916 16145 19374 32290 38748 41977 48435 52021 64580 83954 96870 104042 125931 156063 167908 193740 208084 209885 251862 260105 312126 419770 503724 520210 624252 629655 676273 780315 839540 1040420 1259310 1352546 1560630 2028819 2518620 2705092 3121260 3381365 4057638 6762730 8115276 10144095 13525460 20288190 40576380 167975809 335951618 503927427 671903236 839879045 1007854854 1679758090 2015709708 2183685517 2519637135 3359516180 4367371034 5039274270 6551056551 8734742068 10078548540 10918427585 13102113102 21836855170 26204226204 32755282755 43673710340 65510565510 131021131020