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12102344430 = 23511374721089
BaseRepresentation
bin10110100010101101…
…10001111011101110
31011020102200210111220
423101112301323232
5144241200010210
65320523124210
7605623142001
oct132126617356
934212623456
1012102344430
115150504550
122419073666
1311ab419467
1482b45d538
154ac739c70
hex2d15b1eee

12102344430 has 128 divisors (see below), whose sum is σ = 33236490240. Its totient is φ = 2793738240.

The previous prime is 12102344363. The next prime is 12102344431. The reversal of 12102344430 is 3444320121.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12102344430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102344431) 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, 563326 + ... + 584414.

It is an arithmetic number, because the mean of its divisors is an integer number (259660080).

Almost surely, 212102344430 is an apocalyptic number.

12102344430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102344430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16618245120).

12102344430 is an abundant number, since it is smaller than the sum of its proper divisors (21134145810).

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

12102344430 is a wasteful number, since it uses less digits than its factorization.

12102344430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21194.

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

Adding to 12102344430 its reverse (3444320121), we get a palindrome (15546664551).

The spelling of 12102344430 in words is "twelve billion, one hundred two million, three hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 47 55 66 74 94 110 111 141 165 185 222 235 282 330 370 407 470 517 555 705 814 1034 1110 1221 1410 1551 1739 2035 2442 2585 3102 3478 4070 5170 5217 6105 7755 8695 10434 12210 15510 17390 19129 21089 26085 38258 42178 52170 57387 63267 95645 105445 114774 126534 191290 210890 231979 286935 316335 463958 573870 632670 695937 780293 991183 1159895 1391874 1560586 1982366 2319790 2340879 2973549 3479685 3901465 4681758 4955915 5947098 6959370 7802930 8583223 9911830 10903013 11704395 14867745 17166446 21806026 23408790 25749669 29735490 32709039 36673771 42916115 51499338 54515065 65418078 73347542 85832230 109030130 110021313 128748345 163545195 183368855 220042626 257496690 327090390 366737710 403411481 550106565 806822962 1100213130 1210234443 2017057405 2420468886 4034114810 6051172215 12102344430