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13120101076365 = 3357310487126949
BaseRepresentation
bin1011111011101100001011…
…1101101100110110001101
31201110021021101212100111000
42332323002331230312031
53204424431333420430
643523142523250513
72522616223041153
oct276730275546615
951407241770430
1013120101076365
1141a9227020aa8
12157a91b379a39
137422b2aa218a
1433503295d3d3
1517b43d455e60
hexbeec2f6cd8d

13120101076365 has 64 divisors (see below), whose sum is σ = 23646580416000. Its totient is φ = 6900820157952.

The previous prime is 13120101076337. The next prime is 13120101076387. The reversal of 13120101076365 is 56367010102131.

13120101076365 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 1 + 0 + 10 + 7 + 636 + 5 = 666.

It is not a de Polignac number, because 13120101076365 - 212 = 13120101072269 is a prime.

It is a super-2 number, since 2×131201010763652 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103285911 + ... + 103412859.

It is an arithmetic number, because the mean of its divisors is an integer number (369477819000).

Almost surely, 213120101076365 is an apocalyptic number.

13120101076365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13120101076365 is a deficient number, since it is larger than the sum of its proper divisors (10526479339635).

13120101076365 is a wasteful number, since it uses less digits than its factorization.

13120101076365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137523 (or 137517 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 13120101076365 its reverse (56367010102131), we get a palindrome (69487111178496).

The spelling of 13120101076365 in words is "thirteen trillion, one hundred twenty billion, one hundred one million, seventy-six thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 73 135 219 365 657 1095 1971 3285 9855 10487 31461 52435 94383 126949 157305 283149 380847 471915 634745 765551 1142541 1415745 1904235 2296653 3427623 3827755 5712705 6889959 9267277 11483265 17138115 20669877 27801831 34449795 46336385 83405493 103349385 139009155 250216479 417027465 1251082395 1331314163 3993942489 6656570815 11981827467 19969712445 35945482401 59909137335 97185933899 179727412005 291557801697 485929669495 874673405091 1457789008485 2624020215273 4373367025455 13120101076365