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1031315133501 = 32137383459993
BaseRepresentation
bin11110000000111110010…
…11000001010000111101
310122121000010101000212100
433000133023001100331
5113344113133233001
62105440222255313
7134336643665232
oct17003713012075
93577003330770
101031315133501
11368418563214
12147a61427539
1376338c66c33
1437cb73d1789
151bc60a6e586
hexf01f2c143d

1031315133501 has 12 divisors (see below), whose sum is σ = 1490762412828. Its totient is φ = 687042654144.

The previous prime is 1031315133463. The next prime is 1031315133509. The reversal of 1031315133501 is 1053315131301.

It is a happy number.

1031315133501 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 151 + 3 + 3 + 501 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 770311650276 + 261003483225 = 877674^2 + 510885^2 .

It is not a de Polignac number, because 1031315133501 - 221 = 1031313036349 is a prime.

It is a super-2 number, since 2×10313151335012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031315133509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41717640 + ... + 41742353.

It is an arithmetic number, because the mean of its divisors is an integer number (124230201069).

Almost surely, 21031315133501 is an apocalyptic number.

It is an amenable number.

1031315133501 is a deficient number, since it is larger than the sum of its proper divisors (459447279327).

1031315133501 is a wasteful number, since it uses less digits than its factorization.

1031315133501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83461372 (or 83461369 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The spelling of 1031315133501 in words is "one trillion, thirty-one billion, three hundred fifteen million, one hundred thirty-three thousand, five hundred one".

Divisors: 1 3 9 1373 4119 12357 83459993 250379979 751139937 114590570389 343771711167 1031315133501