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12101027064 = 2337276913381
BaseRepresentation
bin10110100010100011…
…10000010011111000
31011020100012212102120
423101101300103320
5144240330331224
65320435001240
7605606014200
oct132121602370
934210185376
1012101027064
11514a794815
122418739220
1311ab077959
1482b1d9400
154ac579779
hex2d14704f8

12101027064 has 96 divisors (see below), whose sum is σ = 35240158800. Its totient is φ = 3452682240.

The previous prime is 12101027051. The next prime is 12101027083. The reversal of 12101027064 is 46072010121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897654 + ... + 911034.

Almost surely, 212101027064 is an apocalyptic number.

12101027064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101027064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17620079400).

12101027064 is an abundant number, since it is smaller than the sum of its proper divisors (23139131736).

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

12101027064 is a wasteful number, since it uses less digits than its factorization.

12101027064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14173 (or 14162 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 12101027064 its reverse (46072010121), we get a palindrome (58173037185).

The spelling of 12101027064 in words is "twelve billion, one hundred one million, twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 769 1176 1538 2307 3076 4614 5383 6152 9228 10766 13381 16149 18456 21532 26762 32298 37681 40143 43064 53524 64596 75362 80286 93667 107048 113043 129192 150724 160572 187334 226086 281001 301448 321144 374668 452172 562002 655669 749336 904344 1124004 1311338 1967007 2248008 2622676 3934014 5245352 7868028 10289989 15736056 20579978 30869967 41159956 61739934 72029923 82319912 123479868 144059846 216089769 246959736 288119692 432179538 504209461 576239384 864359076 1008418922 1512628383 1728718152 2016837844 3025256766 4033675688 6050513532 12101027064