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129883131313 = 1347977217579
BaseRepresentation
bin111100011110110100…
…0110100110110110001
3110102020210000200220221
41320331220310312301
54112000040200223
6135400102133041
712245424254215
oct1707550646661
9412223020827
10129883131313
11500a0706a41
1221209721181
13c32b905c70
146401b66945
1535a297ab5d
hex1e3da34db1

129883131313 has 16 divisors (see below), whose sum is σ = 142997057280. Its totient is φ = 117220582656.

The previous prime is 129883131311. The next prime is 129883131359. The reversal of 129883131313 is 313131388921.

It is a cyclic number.

It is not a de Polignac number, because 129883131313 - 21 = 129883131311 is a prime.

It is a super-2 number, since 2×1298831313132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

129883131313 is a modest number, since divided by 131313 gives 129883 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 129883131313.

It is not an unprimeable number, because it can be changed into a prime (129883131311) 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, 488158 + ... + 705736.

It is an arithmetic number, because the mean of its divisors is an integer number (8937316080).

Almost surely, 2129883131313 is an apocalyptic number.

129883131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

129883131313 is a deficient number, since it is larger than the sum of its proper divisors (13113925967).

129883131313 is a wasteful number, since it uses less digits than its factorization.

129883131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218616.

The product of its digits is 93312, while the sum is 43.

The spelling of 129883131313 in words is "one hundred twenty-nine billion, eight hundred eighty-three million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 13 47 611 977 12701 45919 217579 596947 2828527 10226213 132940769 212574683 2763470879 9991010101 129883131313