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12114770382 = 23211137336421
BaseRepresentation
bin10110100100001100…
…01011100111001110
31011021022002002201100
423102012023213032
5144302340123012
65322045323530
7606133564161
oct132206134716
934238062640
1012114770382
115157521330
1224212665a6
1311b0b7a2b0
1482cd75ad8
154ad8918dc
hex2d218b9ce

12114770382 has 96 divisors (see below), whose sum is σ = 30884476896. Its totient is φ = 3383596800.

The previous prime is 12114770351. The next prime is 12114770413. The reversal of 12114770382 is 28307741121.

12114770382 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12114770351) and next prime (12114770413).

It is a super-2 number, since 2×121147703822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1883532 + ... + 1889952.

It is an arithmetic number, because the mean of its divisors is an integer number (321713301).

Almost surely, 212114770382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12114770382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442238448).

12114770382 is an abundant number, since it is smaller than the sum of its proper divisors (18769706514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12114770382 is a wasteful number, since it uses less digits than its factorization.

12114770382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12114770382 in words is "twelve billion, one hundred fourteen million, seven hundred seventy thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 733 858 1287 1466 2199 2574 4398 6421 6597 8063 9529 12842 13194 16126 19058 19263 24189 28587 38526 48378 57174 57789 70631 72567 83473 85761 104819 115578 141262 145134 166946 171522 209638 211893 250419 314457 423786 500838 628914 635679 751257 918203 943371 1271358 1502514 1836406 1886742 2754609 4706593 5509218 8263827 9413186 14119779 16527654 28239558 42359337 51772523 61185709 84718674 103545046 122371418 155317569 183557127 310635138 367114254 465952707 550671381 673042799 931905414 1101342762 1346085598 2019128397 4038256794 6057385191 12114770382