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113322110101233 = 31122343379832861
BaseRepresentation
bin11001110001000011011100…
…000111100010011011110001
3112212020111011200210121021120
4121301003130013202123301
5104323132140141214413
61041003243024412453
732604152346460665
oct3161033407423361
9485214150717246
10113322110101233
113312070093a500
1210862701477129
134b302c95213a7
141ddab685ba8a5
15d17b7c741723
hex6710dc1e26f1

113322110101233 has 96 divisors (see below), whose sum is σ = 177800179307520. Its totient is φ = 63996829142400.

The previous prime is 113322110101229. The next prime is 113322110101237. The reversal of 113322110101233 is 332101011223311.

It is an interprime number because it is at equal distance from previous prime (113322110101229) and next prime (113322110101237).

It is not a de Polignac number, because 113322110101233 - 22 = 113322110101229 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113322110101237) 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 95 ways as a sum of consecutive naturals, for example, 135647223 + ... + 136480083.

It is an arithmetic number, because the mean of its divisors is an integer number (1852085201120).

Almost surely, 2113322110101233 is an apocalyptic number.

It is an amenable number.

113322110101233 is a deficient number, since it is larger than the sum of its proper divisors (64478069206287).

113322110101233 is a wasteful number, since it uses less digits than its factorization.

113322110101233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833331 (or 833320 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 113322110101233 its reverse (332101011223311), we get a palindrome (445423121324544).

The spelling of 113322110101233 in words is "one hundred thirteen trillion, three hundred twenty-two billion, one hundred ten million, one hundred one thousand, two hundred thirty-three".

Divisors: 1 3 11 23 33 43 69 121 129 253 363 379 473 759 989 1137 1419 2783 2967 4169 5203 8349 8717 10879 12507 15609 16297 26151 32637 45859 48891 95887 119669 137577 179267 287661 359007 374831 537801 832861 1054757 1124493 1971937 2498583 3164271 4123141 5915811 9161471 12369423 19155803 27484413 35813023 45354551 57467409 100776181 107439069 136063653 210713833 302328543 315654319 393943253 632141499 823699529 946962957 1181829759 2317852163 2471098587 3472197509 4333375783 6953556489 7260049337 9060694819 10416592527 13000127349 13573135717 21780148011 27182084457 38194172599 40719407151 79860542707 99667643009 114582517797 149304492887 239581628121 299002929027 312182121491 447913478661 878465969777 936546364473 1642349421757 2635397909331 3434003336401 4927048265271 10302010009203 37774036700411 113322110101233