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12243151032 = 23371033472039
BaseRepresentation
bin10110110011011111…
…11010100010111000
31011121020122111212020
423121233322202320
5200033221313112
65342513114440
7612253031610
oct133157724270
934536574766
1012243151032
115212a37642
122458258a20
131201649988
14842033a40
154b9ca048c
hex2d9bfa8b8

12243151032 has 128 divisors (see below), whose sum is σ = 35439206400. Its totient is φ = 3452404608.

The previous prime is 12243151031. The next prime is 12243151033. The reversal of 12243151032 is 23015134221.

It is an interprime number because it is at equal distance from previous prime (12243151031) and next prime (12243151033).

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

It is a junction number, because it is equal to n+sod(n) for n = 12243150993 and 12243151011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243151031) 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, 6003469 + ... + 6005507.

It is an arithmetic number, because the mean of its divisors is an integer number (276868800).

Almost surely, 212243151032 is an apocalyptic number.

12243151032 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 12243151032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719603200).

12243151032 is an abundant number, since it is smaller than the sum of its proper divisors (23196055368).

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

12243151032 is a wasteful number, since it uses less digits than its factorization.

12243151032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12243151032 its reverse (23015134221), we get a palindrome (35258285253).

The spelling of 12243151032 in words is "twelve billion, two hundred forty-three million, one hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 347 412 618 694 721 824 1041 1236 1388 1442 2039 2082 2163 2429 2472 2776 2884 4078 4164 4326 4858 5768 6117 7287 8156 8328 8652 9716 12234 14273 14574 16312 17304 19432 24468 28546 29148 35741 42819 48936 57092 58296 71482 85638 107223 114184 142964 171276 210017 214446 250187 285928 342552 420034 428892 500374 630051 707533 750561 840068 857784 1000748 1260102 1415066 1470119 1501122 1680136 2001496 2122599 2520204 2830132 2940238 3002244 4245198 4410357 4952731 5040408 5660264 5880476 6004488 8490396 8820714 9905462 11760952 14858193 16980792 17641428 19810924 29716386 35282856 39621848 59432772 72875899 118865544 145751798 218627697 291503596 437255394 510131293 583007192 874510788 1020262586 1530393879 1749021576 2040525172 3060787758 4081050344 6121575516 12243151032