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131322030320 = 24513151836233
BaseRepresentation
bin111101001001101100…
…1110010100011110000
3110112222001120100021202
41322103121302203300
54122421414432240
6140154542510332
712326165561105
oct1722331624360
9415861510252
10131322030320
1150769954078
122154b5953a8
13c4caa540b0
1464dacc2aac
153638e56315
hex1e936728f0

131322030320 has 80 divisors (see below), whose sum is σ = 330988107072. Its totient is φ = 48166963200.

The previous prime is 131322030313. The next prime is 131322030349. The reversal of 131322030320 is 23030223131.

131322030320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 131322030292 and 131322030301.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 261077 + ... + 575156.

Almost surely, 2131322030320 is an apocalyptic number.

131322030320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131322030320 is an abundant number, since it is smaller than the sum of its proper divisors (199666076752).

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

131322030320 is a wasteful number, since it uses less digits than its factorization.

131322030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836410 (or 836404 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 131322030320 its reverse (23030223131), we get a palindrome (154352253451).

The spelling of 131322030320 in words is "one hundred thirty-one billion, three hundred twenty-two million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 151 208 260 302 520 604 755 1040 1208 1510 1963 2416 3020 3926 6040 7852 9815 12080 15704 19630 31408 39260 78520 157040 836233 1672466 3344932 4181165 6689864 8362330 10871029 13379728 16724660 21742058 33449320 43484116 54355145 66898640 86968232 108710290 126271183 173936464 217420580 252542366 434841160 505084732 631355915 869682320 1010169464 1262711830 1641525379 2020338928 2525423660 3283050758 5050847320 6566101516 8207626895 10101694640 13132203032 16415253790 26264406064 32830507580 65661015160 131322030320