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11311202300013 = 3371153369727767
BaseRepresentation
bin1010010010011001100000…
…1100011111000001101101
31111001100012010200111202000
42210212120030133001231
52440310320242100023
640020143344522513
72245131065115540
oct244463014370155
944040163614660
1011311202300013
1136710658a7aa0
12132822a920439
1364084605b445
142b16723a8857
1514936c568243
hexa499831f06d

11311202300013 has 128 divisors (see below), whose sum is σ = 21292982231040. Its totient is φ = 5763315317760.

The previous prime is 11311202299993. The next prime is 11311202300023. The reversal of 11311202300013 is 31000320211311.

It is not a de Polignac number, because 11311202300013 - 212 = 11311202295917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311202300023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 407347456 + ... + 407375222.

It is an arithmetic number, because the mean of its divisors is an integer number (166351423680).

Almost surely, 211311202300013 is an apocalyptic number.

It is an amenable number.

11311202300013 is a deficient number, since it is larger than the sum of its proper divisors (9981779931027).

11311202300013 is a wasteful number, since it uses less digits than its factorization.

11311202300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31544 (or 31538 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11311202300013 its reverse (31000320211311), we get a palindrome (42311522511324).

The spelling of 11311202300013 in words is "eleven trillion, three hundred eleven billion, two hundred two million, three hundred thousand, thirteen".

Divisors: 1 3 7 9 11 21 27 33 53 63 77 99 159 189 231 297 371 477 583 693 1113 1431 1749 2079 3339 3697 4081 5247 10017 11091 12243 15741 25879 27767 33273 36729 40667 77637 83301 99819 110187 122001 194369 195941 232911 249903 284669 305437 366003 583107 587823 698733 749709 854007 916311 1098009 1371587 1471651 1749321 1763469 2138059 2155351 2562021 2748933 4114761 4414953 5247963 5290407 6414177 6466053 7686063 8246799 10301557 12344283 13244859 15087457 16188161 19242531 19398159 30904671 37032849 39734577 45262371 48564483 57727593 58194477 92714013 102654599 113317127 135787113 145693449 278142039 307963797 339951381 407361339 437080347 718582193 923891391 1019854143 1129200589 2155746579 2771674173 3059562429 3387601767 5440693747 6467239737 7904404123 10162805301 16322081241 19401719211 23713212369 30488415903 38084856229 48966243723 59847631217 71139637107 114254568687 146898731169 179542893651 213418911321 342763706061 418933418519 538628680953 1028291118183 1256800255557 1615886042859 3770400766671 11311202300013