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131321022 = 23717231349
BaseRepresentation
bin1111101001111…
…00110010111110
3100011002210120120
413310330302332
5232104233042
621010355410
73153132060
oct764746276
9304083516
10131321022
1168144478
1237b8bb66
132128bb61
1413625730
15b7dedec
hex7d3ccbe

131321022 has 96 divisors (see below), whose sum is σ = 330086400. Its totient is φ = 34076160.

The previous prime is 131321017. The next prime is 131321083. The reversal of 131321022 is 220123131.

It is a junction number, because it is equal to n+sod(n) for n = 131320992 and 131321010.

It is a congruent number.

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, 376104 + ... + 376452.

It is an arithmetic number, because the mean of its divisors is an integer number (3438400).

Almost surely, 2131321022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131321022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165043200).

131321022 is an abundant number, since it is smaller than the sum of its proper divisors (198765378).

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

131321022 is a wasteful number, since it uses less digits than its factorization.

131321022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131321022 is about 11459.5384723819. The cubic root of 131321022 is about 508.2898272778.

Adding to 131321022 its reverse (220123131), we get a palindrome (351444153).

The spelling of 131321022 in words is "one hundred thirty-one million, three hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 289 349 357 434 527 578 651 698 714 867 1047 1054 1302 1581 1734 2023 2094 2443 3162 3689 4046 4886 5933 6069 7329 7378 8959 10819 11067 11866 12138 14658 17799 17918 21638 22134 26877 32457 35598 41531 53754 62713 64914 75733 83062 100861 124593 125426 151466 183923 188139 201722 227199 249186 302583 367846 376278 454398 551769 605166 706027 1103538 1287461 1412054 2118081 2574922 3126691 3862383 4236162 6253382 7724766 9380073 18760146 21886837 43773674 65660511 131321022