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10924012323 = 337219795501
BaseRepresentation
bin10100010110001111…
…10011001100100011
31001012022110022202000
422023013303030203
5134333021343243
65003551255043
7534464400300
oct121307631443
931168408660
1010924012323
1146a6358164
12214a51a483
131051270623
14758b700a7
1543e07e5d3
hex28b1f3323

10924012323 has 96 divisors (see below), whose sum is σ = 20071296000. Its totient is φ = 5837832000.

The previous prime is 10924012289. The next prime is 10924012327. The reversal of 10924012323 is 32321042901.

It is a happy number.

10924012323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1045182-1.

It is not a de Polignac number, because 10924012323 - 213 = 10924004131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10924012327) 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 95 ways as a sum of consecutive naturals, for example, 1983073 + ... + 1988573.

It is an arithmetic number, because the mean of its divisors is an integer number (209076000).

Almost surely, 210924012323 is an apocalyptic number.

10924012323 is a deficient number, since it is larger than the sum of its proper divisors (9147283677).

10924012323 is a wasteful number, since it uses less digits than its factorization.

10924012323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10924012323 in words is "ten billion, nine hundred twenty-four million, twelve thousand, three hundred twenty-three".

Divisors: 1 3 7 9 19 21 27 49 57 63 79 133 147 171 189 237 399 441 513 553 711 931 1197 1323 1501 1659 2133 2793 3591 3871 4503 4977 5501 8379 10507 11613 13509 14931 16503 25137 31521 34839 38507 40527 49509 73549 94563 104517 104519 115521 148527 220647 269549 283689 313557 346563 434579 661941 731633 808647 940671 1039689 1303737 1985823 2194899 2425941 2822013 3042053 3911211 5121431 6584697 7277823 8257001 9126159 11733633 15364293 19754091 21294371 24771003 27378477 46092879 57799007 63883113 74313009 82135431 138278637 173397021 191649339 222939027 404593049 520191063 574948017 1213779147 1560573189 3641337441 10924012323