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12103333032 = 2337196435897
BaseRepresentation
bin10110100010110101…
…00011010010101000
31011020111120000121210
423101122203102220
5144241423124112
65321000233120
7605634430140
oct132132432250
934214500553
1012103333032
11515101a27a
12241946b7a0
1311ab6a442b
1482b639920
154ac882b3c
hex2d16a34a8

12103333032 has 128 divisors (see below), whose sum is σ = 36463795200. Its totient is φ = 3270440448.

The previous prime is 12103332979. The next prime is 12103333043. The reversal of 12103333032 is 23033330121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2049508 + ... + 2055404.

It is an arithmetic number, because the mean of its divisors is an integer number (284873400).

Almost surely, 212103333032 is an apocalyptic number.

12103333032 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 12103333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18231897600).

12103333032 is an abundant number, since it is smaller than the sum of its proper divisors (24360462168).

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

12103333032 is a wasteful number, since it uses less digits than its factorization.

12103333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6575 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12103333032 its reverse (23033330121), we get a palindrome (35136663153).

The spelling of 12103333032 in words is "twelve billion, one hundred three million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 643 798 1064 1286 1596 1929 2572 3192 3858 4501 5144 5897 7716 9002 11794 12217 13503 15432 17691 18004 23588 24434 27006 35382 36008 36651 41279 47176 48868 54012 70764 73302 82558 85519 97736 108024 112043 123837 141528 146604 165116 171038 224086 247674 256557 293208 330232 336129 342076 448172 495348 513114 672258 684152 784301 896344 990696 1026228 1344516 1568602 2052456 2352903 2689032 3137204 3791771 4705806 6274408 7583542 9411612 11375313 15167084 18823224 22750626 26542397 30334168 45501252 53084794 72043649 79627191 91002504 106169588 144087298 159254382 212339176 216130947 288174596 318508764 432261894 504305543 576349192 637017528 864523788 1008611086 1512916629 1729047576 2017222172 3025833258 4034444344 6051666516 12103333032