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12311053001 = 132961535333
BaseRepresentation
bin10110111011100101…
…11100001011001001
31011202222102021211222
423131302330023021
5200203112144001
65353340331425
7614036136542
oct133562741311
934688367758
1012311053001
1152482a5375
122476b43b75
131212732560
1484b06b4c9
154c0c1461b
hex2ddcbc2c9

12311053001 has 16 divisors (see below), whose sum is σ = 13940097360. Its totient is φ = 10792293120.

The previous prime is 12311052977. The next prime is 12311053003. The reversal of 12311053001 is 10035011321.

It can be written as a sum of positive squares in 8 ways, for example, as 3343152400 + 8967900601 = 57820^2 + 94699^2 .

It is a cyclic number.

It is not a de Polignac number, because 12311053001 - 218 = 12310790857 is a prime.

It is a super-2 number, since 2×123110530012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12311053003) 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 15 ways as a sum of consecutive naturals, for example, 244670 + ... + 290663.

It is an arithmetic number, because the mean of its divisors is an integer number (871256085).

Almost surely, 212311053001 is an apocalyptic number.

It is an amenable number.

12311053001 is a deficient number, since it is larger than the sum of its proper divisors (1629044359).

12311053001 is a wasteful number, since it uses less digits than its factorization.

12311053001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535436.

The product of its (nonzero) digits is 90, while the sum is 17.

Adding to 12311053001 its reverse (10035011321), we get a palindrome (22346064322).

The spelling of 12311053001 in words is "twelve billion, three hundred eleven million, fifty-three thousand, one".

Divisors: 1 13 29 61 377 793 1769 22997 535333 6959329 15524657 32655313 201820541 424519069 947004077 12311053001