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12106040232 = 233111323914759
BaseRepresentation
bin10110100011001001…
…11000001110101000
31011020200122120012110
423101210320032220
5144243121241412
65321134242320
7605666433636
oct132144701650
934220576173
1012106040232
1151525a9230
12241a3563a0
1311ac111720
1482bb42356
154acc19d3c
hex2d19383a8

12106040232 has 128 divisors (see below), whose sum is σ = 35707392000. Its totient is φ = 3371907840.

The previous prime is 12106040231. The next prime is 12106040263. The reversal of 12106040232 is 23204060121.

It is a super-2 number, since 2×121060402322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12106040199 and 12106040208.

It is not an unprimeable number, because it can be changed into a prime (12106040231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812869 + ... + 827627.

It is an arithmetic number, because the mean of its divisors is an integer number (278964000).

Almost surely, 212106040232 is an apocalyptic number.

12106040232 is a gapful number since it is divisible by the number (12) 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 12106040232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853696000).

12106040232 is an abundant number, since it is smaller than the sum of its proper divisors (23601351768).

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

12106040232 is a wasteful number, since it uses less digits than its factorization.

12106040232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15031 (or 15027 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 12106040232 in words is "twelve billion, one hundred six million, forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 239 264 286 312 429 478 572 717 858 956 1144 1434 1716 1912 2629 2868 3107 3432 5258 5736 6214 7887 9321 10516 12428 14759 15774 18642 21032 24856 29518 31548 34177 37284 44277 59036 63096 68354 74568 88554 102531 118072 136708 162349 177108 191867 205062 273416 324698 354216 383734 410124 487047 575601 649396 767468 820248 974094 1151202 1298792 1534936 1948188 2110537 2302404 3527401 3896376 4221074 4604808 6331611 7054802 8442148 10582203 12663222 14109604 16884296 21164406 25326444 28219208 38801411 42328812 45856213 50652888 77602822 84657624 91712426 116404233 137568639 155205644 183424852 232808466 275137278 310411288 366849704 465616932 504418343 550274556 931233864 1008836686 1100549112 1513255029 2017673372 3026510058 4035346744 6053020116 12106040232