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12323101003213 = 71113196113198053
BaseRepresentation
bin1011001101010011001000…
…0011101100110111001101
31121122002002002121200111011
42303110302003230313031
53103400202324100323
642113053205525221
72411212634145430
oct263246203546715
947562062550434
1012323101003213
113a2121a2877a0
121470371713811
136b50a94b2960
14308626bc1817
151658436e120d
hexb35320ecdcd

12323101003213 has 128 divisors (see below), whose sum is σ = 17717665996800. Its totient is φ = 8252307993600.

The previous prime is 12323101003189. The next prime is 12323101003229. The reversal of 12323101003213 is 31230010132321.

It is not a de Polignac number, because 12323101003213 - 241 = 10124077747661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323101603213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1530245695 + ... + 1530253747.

It is an arithmetic number, because the mean of its divisors is an integer number (138419265600).

Almost surely, 212323101003213 is an apocalyptic number.

12323101003213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12323101003213 is a deficient number, since it is larger than the sum of its proper divisors (5394564993587).

12323101003213 is a wasteful number, since it uses less digits than its factorization.

12323101003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12323101003213 its reverse (31230010132321), we get a palindrome (43553111135534).

The spelling of 12323101003213 in words is "twelve trillion, three hundred twenty-three billion, one hundred one million, three thousand, two hundred thirteen".

Divisors: 1 7 11 13 19 61 77 91 133 143 209 247 427 671 793 1001 1159 1319 1463 1729 2717 4697 5551 8053 8113 8723 9233 12749 14509 15067 17147 19019 25061 56371 61061 80459 88583 89243 101563 104689 105469 120029 153007 165737 175427 188617 275671 325793 491233 563213 620081 732823 885049 1045967 1071049 1151579 1160159 1320319 1528721 1683077 1929697 1989091 2280551 3438631 3583723 5403563 6195343 6386029 7321769 8061053 9333427 10621907 10701047 11505637 11781539 13923637 16815931 19873373 21880001 25086061 37824941 44702203 65333989 70246319 74353349 80539459 102667697 116840977 117711517 121334551 138084791 139113611 153160007 201816233 218607103 491724233 647936327 718673879 817886839 849341857 966593537 1334680061 1412713631 1518932701 1530249721 2219978563 2623611029 4535554289 7127299597 8423172251 9342760427 10632528907 12310790213 15539849941 18365277203 28859721319 49891097179 58962205757 86175531491 92654894761 135418692343 160040272769 202018049233 648584263327 947930846401 1120281909383 1760443000459 12323101003213