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131142042330 = 235131523220789
BaseRepresentation
bin111101000100010101…
…1001100001011011010
3110112111111220000011220
41322020223030023122
54122034330323310
6140125033032510
712321551652555
oct1721053141332
9415444800156
10131142042330
115068729a472
12214bb255736
13c49c685820
1464c102d69c
153628251670
hex1e88acc2da

131142042330 has 64 divisors (see below), whose sum is σ = 339175831680. Its totient is φ = 32259776256.

The previous prime is 131142042329. The next prime is 131142042331. The reversal of 131142042330 is 33240241131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131142042329) and next prime (131142042331).

It is a self number, because there is not a number n which added to its sum of digits gives 131142042330.

It is not an unprimeable number, because it can be changed into a prime (131142042331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483576 + ... + 704364.

It is an arithmetic number, because the mean of its divisors is an integer number (5299622370).

Almost surely, 2131142042330 is an apocalyptic number.

131142042330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131142042330 is an abundant number, since it is smaller than the sum of its proper divisors (208033789350).

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

131142042330 is a wasteful number, since it uses less digits than its factorization.

131142042330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222335.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131142042330 its reverse (33240241131), we get a palindrome (164382283461).

The spelling of 131142042330 in words is "one hundred thirty-one billion, one hundred forty-two million, forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1523 3046 4569 7615 9138 15230 19799 22845 39598 45690 59397 98995 118794 197990 220789 296985 441578 593970 662367 1103945 1324734 2207890 2870257 3311835 5740514 6623670 8610771 14351285 17221542 28702570 43053855 86107710 336261647 672523294 1008784941 1681308235 2017569882 3362616470 4371401411 5043924705 8742802822 10087849410 13114204233 21857007055 26228408466 43714014110 65571021165 131142042330