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13310133302312 = 237113971840961
BaseRepresentation
bin1100000110110000000111…
…0001000111010000101000
31202010102210002000122112122
43001230001301013100220
53221033123111133222
644150331341330412
72542424340232340
oct301540161072050
952112702018478
1013310133302312
114271883289000
1215ab714866a08
137571a8ca80a2
143402dcca9d20
15181361785a42
hexc1b01c47428

13310133302312 has 128 divisors (see below), whose sum is σ = 31695180007680. Its totient is φ = 5132301926400.

The previous prime is 13310133302303. The next prime is 13310133302341. The reversal of 13310133302312 is 21320333101331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6309512 + ... + 8150472.

It is an arithmetic number, because the mean of its divisors is an integer number (247618593810).

Almost surely, 213310133302312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310133302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15847590003840).

13310133302312 is an abundant number, since it is smaller than the sum of its proper divisors (18385046705368).

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

13310133302312 is a wasteful number, since it uses less digits than its factorization.

13310133302312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841104 (or 1841078 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13310133302312 its reverse (21320333101331), we get a palindrome (34630466403643).

The spelling of 13310133302312 in words is "thirteen trillion, three hundred ten billion, one hundred thirty-three million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 97 121 154 194 242 308 388 484 616 679 776 847 968 1067 1331 1358 1694 2134 2662 2716 3388 4268 5324 5432 6776 7469 8536 9317 10648 11737 14938 18634 23474 29876 37268 46948 59752 74536 82159 93896 129107 164318 258214 328636 516428 657272 903749 1032856 1807498 1840961 3614996 3681922 7229992 7363844 12886727 14727688 20250571 25773454 40501142 51546908 81002284 103093816 141753997 162004568 178573217 222756281 283507994 357146434 445512562 567015988 714292868 891025124 1134031976 1250012519 1428585736 1559293967 1782050248 1964305387 2450319091 2500025038 3118587934 3928610774 4900638182 5000050076 6237175868 7857221548 9801276364 10000100152 12474351736 13750137709 15714443096 17152233637 19602552728 21607359257 27500275418 34304467274 43214718514 55000550836 68608934548 86429437028 110001101672 137217869096 151251514799 172858874056 237680951827 302503029598 475361903654 605006059196 950723807308 1210012118392 1663766662789 1901447614616 3327533325578 6655066651156 13310133302312