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102301112330313 = 313311091935697069
BaseRepresentation
bin10111010000101011010101…
…011101011110100001001001
3111102012220001102010122022220
4113100223111131132201021
5101402100134224032223
61001324252054004253
730356003634212331
oct2720532535364111
9442186042118286
10102301112330313
112a661726a20506
12b582783646689
134510c51ab6020
141b395864320c1
15bc614792a6e3
hex5d0ad575e849

102301112330313 has 128 divisors (see below), whose sum is σ = 154108534272000. Its totient is φ = 59938015150080.

The previous prime is 102301112330309. The next prime is 102301112330317. The reversal of 102301112330313 is 313033211103201.

It is an interprime number because it is at equal distance from previous prime (102301112330309) and next prime (102301112330317).

It is not a de Polignac number, because 102301112330313 - 22 = 102301112330309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102301112330317) 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, 14471790543 + ... + 14471797611.

It is an arithmetic number, because the mean of its divisors is an integer number (1203972924000).

Almost surely, 2102301112330313 is an apocalyptic number.

102301112330313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102301112330313 is a deficient number, since it is larger than the sum of its proper divisors (51807421941687).

102301112330313 is a wasteful number, since it uses less digits than its factorization.

102301112330313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7987.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 102301112330313 its reverse (313033211103201), we get a palindrome (415334323433514).

The spelling of 102301112330313 in words is "one hundred two trillion, three hundred one billion, one hundred twelve million, three hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 13 31 39 93 109 193 327 403 569 579 1209 1417 1707 2509 3379 4251 5983 7069 7397 7527 10137 17639 17949 21037 21207 22191 43927 52917 62021 63111 77779 91897 109817 131781 186063 219139 229307 233337 273481 275691 329451 652147 657417 687921 770521 806273 820443 1364317 1427621 1922651 1956441 2311563 2418819 2848807 3404327 4022261 4092951 4282863 5767953 8477911 8546421 10016773 10212981 11970053 12066783 17736121 23886151 24994463 25433733 30050319 35910159 42293827 44256251 52289393 53208363 71658453 74983389 124690091 126881481 132768753 148710553 155610689 156868179 310519963 371071643 374070273 438426449 446131659 466832067 549819751 776296373 931559889 1113214929 1315279347 1620971183 1649459253 1933237189 2328889119 4610027143 4823931359 4862913549 5699543837 5799711567 10091852849 13591219919 13830081429 14471794077 17098631511 24065187563 30275558547 40773659757 59930352859 72195562689 84616304657 176685858947 179791058577 253848913971 312847438319 530057576841 938542314957 1100011960541 2623105444367 3300035881623 7869316333101 34100370776771 102301112330313