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1310312000121 = 31135506170199
BaseRepresentation
bin10011000100010100101…
…011100110101001111001
311122021010220012100001120
4103010110223212221321
5132432004333000441
62441540553335453
7163444516142565
oct23042453465171
94567126170046
101310312000121
11465777a67543
12191b44a07589
139673c624767
14475c2d266a5
152413e3b2966
hex13114ae6a79

1310312000121 has 16 divisors (see below), whose sum is σ = 1762600694400. Its totient is φ = 865782821120.

The previous prime is 1310312000083. The next prime is 1310312000141. The reversal of 1310312000121 is 1210002130131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1310312000121 - 210 = 1310311999097 is a prime.

It is a super-3 number, since 3×13103120001213 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1310312000121.

It is not an unprimeable number, because it can be changed into a prime (1310312000141) 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, 18630580 + ... + 18700778.

It is an arithmetic number, because the mean of its divisors is an integer number (110162543400).

Almost surely, 21310312000121 is an apocalyptic number.

It is an amenable number.

1310312000121 is a deficient number, since it is larger than the sum of its proper divisors (452288694279).

1310312000121 is a wasteful number, since it uses less digits than its factorization.

1310312000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125376.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1310312000121 its reverse (1210002130131), we get a palindrome (2520314130252).

The spelling of 1310312000121 in words is "one trillion, three hundred ten billion, three hundred twelve million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 113 339 55061 70199 165183 210597 6221893 7932487 18665679 23797461 3865227139 11595681417 436770666707 1310312000121