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135531311330031 = 3294211369943283
BaseRepresentation
bin11110110100001111010111…
…101010101111001011101111
3122202212200000010010111102120
4132310033113222233023233
5120231021111200030111
61200130120324124023
740355546145231621
oct3664172752571357
9582780003114376
10135531311330031
113a203562a51941
121324aa61b36613
135a81717733326
142567a71402c11
1510a0731704406
hex7b43d7aaf2ef

135531311330031 has 16 divisors (see below), whose sum is σ = 186984133464960. Its totient is φ = 87217828164320.

The previous prime is 135531311330017. The next prime is 135531311330057. The reversal of 135531311330031 is 130033113135531.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 135531311330031 - 226 = 135531244221167 is a prime.

It is a super-2 number, since 2×1355313113300312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135531311329974 and 135531311330001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135531311330011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184605285 + ... + 185337998.

It is an arithmetic number, because the mean of its divisors is an integer number (11686508341560).

Almost surely, 2135531311330031 is an apocalyptic number.

135531311330031 is a deficient number, since it is larger than the sum of its proper divisors (51452822134929).

135531311330031 is a wasteful number, since it uses less digits than its factorization.

135531311330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369947526.

The product of its (nonzero) digits is 18225, while the sum is 33.

Adding to 135531311330031 its reverse (130033113135531), we get a palindrome (265564424465562).

The spelling of 135531311330031 in words is "one hundred thirty-five trillion, five hundred thirty-one billion, three hundred eleven million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 29 87 4211 12633 122119 366357 369943283 1109829849 10728355207 32185065621 1557831164713 4673493494139 45177103776677 135531311330031