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30131311320133 = 2937238931175297
BaseRepresentation
bin1101101100111011111100…
…00110111001110001000101
310221200112011220002222011021
412312131332012321301011
512422132411144221013
6144030044444311141
76226625661242302
oct666357606716105
9127615156088137
1030131311320133
11966768779a431
1234677972424b1
1313a74a7bb344a
14762512a820a9
15373bb7d16a8d
hex1b677e1b9c45

30131311320133 has 16 divisors (see below), whose sum is σ = 32014130269680. Its totient is φ = 28304813408256.

The previous prime is 30131311320119. The next prime is 30131311320157. The reversal of 30131311320133 is 33102311313103.

It can be written as a sum of positive squares in 8 ways, for example, as 6811510152769 + 23319801167364 = 2609887^2 + 4829058^2 .

It is a cyclic number.

It is not a de Polignac number, because 30131311320133 - 29 = 30131311319621 is a prime.

It is a super-2 number, since 2×301313113201332 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30131311320098 and 30131311320107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131311320113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25049541 + ... + 26224837.

It is an arithmetic number, because the mean of its divisors is an integer number (2000883141855).

Almost surely, 230131311320133 is an apocalyptic number.

It is an amenable number.

30131311320133 is a deficient number, since it is larger than the sum of its proper divisors (1882818949547).

30131311320133 is a wasteful number, since it uses less digits than its factorization.

30131311320133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199256.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 30131311320133 its reverse (33102311313103), we get a palindrome (63233622633236).

The spelling of 30131311320133 in words is "thirty trillion, one hundred thirty-one billion, three hundred eleven million, three hundred twenty thousand, one hundred thirty-three".

Divisors: 1 29 37 1073 23893 692897 884041 1175297 25637189 34083613 43485989 1261093681 28081371221 814359765409 1039010735177 30131311320133