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1312434140121 = 32131911314593581
BaseRepresentation
bin10011000110010011001…
…010111011001111011001
311122110121210101012212100
4103012103022323033121
5133000331114440441
62442531322234013
7163551225060636
oct23062312731731
94573553335770
101312434140121
11466666947755
12192437655909
13969ba194ac0
1447744ad718d
152421584ecb6
hex131932bb3d9

1312434140121 has 96 divisors (see below), whose sum is σ = 2170124611200. Its totient is φ = 757641185280.

The previous prime is 1312434140117. The next prime is 1312434140191. The reversal of 1312434140121 is 1210414342131.

It is a happy number.

1312434140121 is a `hidden beast` number, since 1 + 3 + 1 + 243 + 414 + 0 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 1312434140121 - 22 = 1312434140117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1312434140191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366497551 + ... + 366501131.

It is an arithmetic number, because the mean of its divisors is an integer number (22605464700).

Almost surely, 21312434140121 is an apocalyptic number.

It is an amenable number.

1312434140121 is a deficient number, since it is larger than the sum of its proper divisors (857690471079).

1312434140121 is a wasteful number, since it uses less digits than its factorization.

1312434140121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1312434140121 its reverse (1210414342131), we get a palindrome (2522848482252).

The spelling of 1312434140121 in words is "one trillion, three hundred twelve billion, four hundred thirty-four million, one hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 13 19 39 57 113 117 171 247 339 741 1017 1459 1469 2147 2223 3581 4377 4407 6441 10743 13131 13221 18967 19323 27721 27911 32229 46553 56901 68039 83163 83733 139659 164867 170703 204117 249489 251199 360373 404653 418977 494601 612351 884507 1081119 1213959 1483803 2143271 2653521 3132473 3243357 3641877 5224679 5260489 6429813 7688407 7960563 9397419 15674037 15781467 19289439 23065221 28192257 40722149 47022111 47344401 67920827 69195663 99268901 99949291 122166447 203762481 297806703 299847873 366499341 590388727 611287443 893420109 899543619 1290495713 1771166181 3871487139 5313498543 7675053451 11217385813 11614461417 23025160353 33652157439 69075481059 100956472317 145826015569 437478046707 1312434140121