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12244323102 = 231119232914639
BaseRepresentation
bin10110110011101000…
…11000101100011110
31011121022212001122020
423121310120230132
5200034021314402
65342554201010
7612266012664
oct133164305436
934538761566
1012244323102
1152136681a0
122458723166
13120196a2cb
1484225ac34
154b9e328bc
hex2d9d18b1e

12244323102 has 128 divisors (see below), whose sum is σ = 30357504000. Its totient is φ = 3246122880.

The previous prime is 12244323071. The next prime is 12244323103. The reversal of 12244323102 is 20132344221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244323103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829099 + ... + 843737.

It is an arithmetic number, because the mean of its divisors is an integer number (237168000).

Almost surely, 212244323102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12244323102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178752000).

12244323102 is an abundant number, since it is smaller than the sum of its proper divisors (18113180898).

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

12244323102 is a wasteful number, since it uses less digits than its factorization.

12244323102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14726.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12244323102 its reverse (20132344221), we get a palindrome (32376667323).

The spelling of 12244323102 in words is "twelve billion, two hundred forty-four million, three hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 23 29 33 38 46 57 58 66 69 87 114 138 174 209 253 319 418 437 506 551 627 638 667 759 874 957 1102 1254 1311 1334 1518 1653 1914 2001 2622 3306 4002 4807 6061 7337 9614 12122 12673 14421 14639 14674 18183 22011 25346 28842 29278 36366 38019 43917 44022 76038 87834 139403 161029 278141 278806 322058 336697 418209 424531 483087 556282 673394 834423 836418 849062 966174 1010091 1273593 1668846 2020182 2547186 3059551 3703667 4669841 6119102 6397243 7407334 8066089 9178653 9339682 9764213 11111001 12794486 14009523 16132178 18357306 19191729 19528426 22222002 24198267 28019046 29292639 38383458 48396534 58585278 70369673 88726979 107406343 140739346 177453958 185520047 211109019 214812686 266180937 322219029 371040094 422218038 532361874 556560141 644438058 1113120282 2040720517 4081441034 6122161551 12244323102