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1312117669032 = 23317239117111491
BaseRepresentation
bin10011000110000000010…
…011101011110010101000
311122102210201212211010220
4103012000103223302220
5132444204110402112
62442440055210040
7163540333110462
oct23060023536250
94572721784126
101312117669032
114665142432a5
12192369676920
139696974abc1
1447714a77132
15241e7b8a98c
hex131804ebca8

1312117669032 has 128 divisors (see below), whose sum is σ = 3491067340800. Its totient is φ = 409536691200.

The previous prime is 1312117668997. The next prime is 1312117669039. The reversal of 1312117669032 is 2309667112131.

It is not an unprimeable number, because it can be changed into a prime (1312117669039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114180807 + ... + 114192297.

It is an arithmetic number, because the mean of its divisors is an integer number (27273963600).

Almost surely, 21312117669032 is an apocalyptic number.

1312117669032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312117669032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745533670400).

1312117669032 is an abundant number, since it is smaller than the sum of its proper divisors (2178949671768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312117669032 is a wasteful number, since it uses less digits than its factorization.

1312117669032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12927 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 1312117669032 in words is "one trillion, three hundred twelve billion, one hundred seventeen million, six hundred sixty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 239 408 478 717 956 1171 1434 1912 2342 2868 3513 4063 4684 5736 7026 8126 9368 11491 12189 14052 16252 19907 22982 24378 28104 32504 34473 39814 45964 48756 59721 68946 79628 91928 97512 119442 137892 159256 195347 238884 275784 279869 390694 477768 559738 586041 781388 839607 1119476 1172082 1562776 1679214 2238952 2344164 2746349 3358428 4688328 4757773 5492698 6716856 8239047 9515546 10985396 13455961 14273319 16478094 19031092 21970792 26911922 28546638 32956188 38062184 40367883 46687933 53823844 57093276 65912376 80735766 93375866 107647688 114186552 140063799 161471532 186751732 228751337 280127598 322943064 373503464 457502674 560255196 686254011 915005348 1120510392 1372508022 1830010696 2745016044 3215974679 5490032088 6431949358 9647924037 12863898716 19295848074 25727797432 38591696148 54671569543 77183392296 109343139086 164014708629 218686278172 328029417258 437372556344 656058834516 1312117669032