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131142422240313 = 311232393967182239
BaseRepresentation
bin11101110100010111111001…
…011111100001110000111001
3122012100002111220000011001020
4131310113321133201300321
5114142114140043142223
61142525555211213053
736423504322423101
oct3564277137416071
9565302456004036
10131142422240313
113887120952a260
1212860343a47189
1358238a61b76b3
142455481802201
1510264ae4ec1e3
hex7745f97e1c39

131142422240313 has 64 divisors (see below), whose sum is σ = 199930517913600. Its totient is φ = 75686998685760.

The previous prime is 131142422240309. The next prime is 131142422240327. The reversal of 131142422240313 is 313042224241131.

It is not a de Polignac number, because 131142422240313 - 22 = 131142422240309 is a prime.

It is a super-2 number, since 2×1311424222403132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131142422240353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719526648 + ... + 719708886.

It is an arithmetic number, because the mean of its divisors is an integer number (3123914342400).

Almost surely, 2131142422240313 is an apocalyptic number.

It is an amenable number.

131142422240313 is a deficient number, since it is larger than the sum of its proper divisors (68788095673287).

131142422240313 is a wasteful number, since it uses less digits than its factorization.

131142422240313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186482.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 131142422240313 its reverse (313042224241131), we get a palindrome (444184646481444).

The spelling of 131142422240313 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred forty thousand, three hundred thirteen".

Divisors: 1 3 11 23 33 69 239 253 717 759 2629 3967 5497 7887 11901 16491 43637 60467 91241 130911 181401 182239 273723 546717 948113 1003651 2004629 2844339 3010953 4191497 6013887 10429243 12574491 21806599 31287729 43555121 46106467 65419797 130665363 138319401 239872589 479106331 719617767 722942113 1001767783 1437318993 2168826339 3005303349 7952363243 11019445613 16627668599 23857089729 33058336839 49883005797 172783165007 182904354589 518349495021 548713063767 1900614815077 3974012795161 5701844445231 11922038385483 43714140746771 131142422240313