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131132322020 = 225710310498669
BaseRepresentation
bin111101000100000011…
…0000111000011100100
3110112110211121011102102
41322020012013003210
54122024333301040
6140124044431232
712321403226510
oct1721006070344
9415424534372
10131132322020
1150681860457
12214b7b48518
13c49a66136b
1464bda1d140
153627481515
hex1e881870e4

131132322020 has 96 divisors (see below), whose sum is σ = 318112704000. Its totient is φ = 44475577344.

The previous prime is 131132322001. The next prime is 131132322089. The reversal of 131132322020 is 20223231131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131132321983 and 131132322001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15122246 + ... + 15130914.

It is an arithmetic number, because the mean of its divisors is an integer number (3313674000).

Almost surely, 2131132322020 is an apocalyptic number.

131132322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131132322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159056352000).

131132322020 is an abundant number, since it is smaller than the sum of its proper divisors (186980381980).

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

131132322020 is a wasteful number, since it uses less digits than its factorization.

131132322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9837 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131132322020 its reverse (20223231131), we get a palindrome (151355553151).

The spelling of 131132322020 in words is "one hundred thirty-one billion, one hundred thirty-two million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1049 1442 2060 2098 2884 3605 4196 5245 7210 7343 8669 10490 14420 14686 17338 20980 29372 34676 36715 43345 60683 73430 86690 108047 121366 146860 173380 216094 242732 303415 432188 540235 606830 756329 892907 1080470 1213660 1512658 1785814 2160940 3025316 3571628 3781645 4464535 6250349 7563290 8929070 9093781 12500698 15126580 17858140 18187562 25001396 31251745 36375124 45468905 62503490 63656467 90937810 125006980 127312934 181875620 254625868 318282335 636564670 936659443 1273129340 1873318886 3746637772 4683297215 6556616101 9366594430 13113232202 18733188860 26226464404 32783080505 65566161010 131132322020