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12031323100302 = 23119723940119609
BaseRepresentation
bin1010111100010100001010…
…1111010101010010001110
31120121011221121000110120110
42233011002233111102032
53034110122203202202
641331040304500450
72351143254662442
oct257050257252216
946534847013513
1012031323100302
113919501263760
12142390191a726
13693719c1a26c
142d8467a3c822
1515ce67c9e26c
hexaf142bd548e

12031323100302 has 128 divisors (see below), whose sum is σ = 26699520153600. Its totient is φ = 3584028672000.

The previous prime is 12031323100253. The next prime is 12031323100319. The reversal of 12031323100302 is 20300132313021.

12031323100302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613551474 + ... + 613571082.

It is an arithmetic number, because the mean of its divisors is an integer number (208590001200).

Almost surely, 212031323100302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031323100302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13349760076800).

12031323100302 is an abundant number, since it is smaller than the sum of its proper divisors (14668197053298).

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

12031323100302 is a wasteful number, since it uses less digits than its factorization.

12031323100302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20362.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12031323100302 its reverse (20300132313021), we get a palindrome (32331455413323).

The spelling of 12031323100302 in words is "twelve trillion, thirty-one billion, three hundred twenty-three million, one hundred thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 97 194 239 291 401 478 582 717 802 1067 1203 1434 2134 2406 2629 3201 4411 5258 6402 7887 8822 13233 15774 19609 23183 26466 38897 39218 46366 58827 69549 77794 95839 116691 117654 139098 191678 215699 233382 255013 287517 427867 431398 510026 575034 647097 765039 855734 1054229 1283601 1294194 1530078 1902073 2108458 2567202 3162687 3804146 4686551 5706219 6325374 7863209 9296383 9373102 11412438 14059653 15726418 18592766 20922803 23589627 27889149 28119306 41845606 47179254 51552061 55778298 62768409 86495299 102260213 103104122 125536818 154656183 172990598 204520426 259485897 306780639 309312366 454595447 518971794 613561278 762731273 909190894 1363786341 1525462546 1879306951 2288193819 2727572682 3758613902 4576387638 5000549917 5637920853 8390044003 10001099834 11275841706 15001649751 16780088006 20672376461 25170132009 30003299502 41344752922 50340264018 62017129383 124034258766 182292774247 364585548494 546878322741 1093756645482 2005220516717 4010441033434 6015661550151 12031323100302