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1331133510145 = 51721741529121
BaseRepresentation
bin10011010111101101101…
…111010111001000000001
311201020212222112122012111
4103113231233113020001
5133302130134311040
62455303030455321
7165112505101465
oct23275557271001
94636788478174
101331133510145
1147359218916a
12195b95b04541
13986aa273aaa
14485da3764a5
152495c303dea
hex135edbd7201

1331133510145 has 24 divisors (see below), whose sum is σ = 1697827625208. Its totient is φ = 1001687654400.

The previous prime is 1331133510143. The next prime is 1331133510163. The reversal of 1331133510145 is 5410153311331.

It can be written as a sum of positive squares in 12 ways, for example, as 683882688784 + 647250821361 = 826972^2 + 804519^2 .

It is not a de Polignac number, because 1331133510145 - 21 = 1331133510143 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331133510143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2251185 + ... + 2780305.

It is an arithmetic number, because the mean of its divisors is an integer number (70742817717).

Almost surely, 21331133510145 is an apocalyptic number.

It is an amenable number.

1331133510145 is a deficient number, since it is larger than the sum of its proper divisors (366694115063).

1331133510145 is a wasteful number, since it uses less digits than its factorization.

1331133510145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530901 (or 530884 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

Adding to 1331133510145 its reverse (5410153311331), we get a palindrome (6741286821476).

The spelling of 1331133510145 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-three million, five hundred ten thousand, one hundred forty-five".

Divisors: 1 5 17 85 289 1445 1741 8705 29597 147985 503149 529121 2515745 2645605 8995057 44975285 152915969 764579845 921199661 4605998305 15660394237 78301971185 266226702029 1331133510145