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131380809390 = 232547113274861
BaseRepresentation
bin111101001011011101…
…0000000111010101110
3110120010011011122000100
41322112322000322232
54123031441400030
6140204442411530
712330511311465
oct1722672007256
9416104148010
10131380809390
115079a050716
1221567200ba6
13c509c943cc
146504a239dc
15363e1b7360
hex1e96e80eae

131380809390 has 96 divisors (see below), whose sum is σ = 351946498176. Its totient is φ = 33985889280.

The previous prime is 131380809367. The next prime is 131380809397. The reversal of 131380809390 is 93908083131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131380809397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340560 + ... + 615420.

It is an arithmetic number, because the mean of its divisors is an integer number (3666109356).

Almost surely, 2131380809390 is an apocalyptic number.

131380809390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131380809390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175973249088).

131380809390 is an abundant number, since it is smaller than the sum of its proper divisors (220565688786).

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

131380809390 is a wasteful number, since it uses less digits than its factorization.

131380809390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275034 (or 275031 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 131380809390 in words is "one hundred thirty-one billion, three hundred eighty million, eight hundred nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 113 141 226 235 282 339 423 470 565 678 705 846 1017 1130 1410 1695 2034 2115 3390 4230 5085 5311 10170 10622 15933 26555 31866 47799 53110 79665 95598 159330 238995 274861 477990 549722 824583 1374305 1649166 2473749 2748610 4122915 4947498 8245830 12368745 12918467 24737490 25836934 31059293 38755401 62118586 64592335 77510802 93177879 116266203 129184670 155296465 186355758 193777005 232532406 279533637 310592930 387554010 465889395 559067274 581331015 931778790 1162662030 1397668185 1459786771 2795336370 2919573542 4379360313 7298933855 8758720626 13138080939 14597867710 21896801565 26276161878 43793603130 65690404695 131380809390