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12002331313110 = 2355967757133697
BaseRepresentation
bin1010111010101000001010…
…1100011100001111010110
31120111102010002212002011110
42232222002230130033112
53033121233304004420
641305443410115450
72346065646601515
oct256520254341726
946442102762143
1012002331313110
113908184142956
12141a17057bb86
13690a796a95b8
142d6cb747c67c
1515c31c929ee0
hexaea82b1c3d6

12002331313110 has 128 divisors (see below), whose sum is σ = 29770544355840. Its totient is φ = 3095295565824.

The previous prime is 12002331313109. The next prime is 12002331313127. The reversal of 12002331313110 is 1131313320021.

It is a happy number.

12002331313110 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, 89705782 + ... + 89839478.

It is an arithmetic number, because the mean of its divisors is an integer number (232582377780).

Almost surely, 212002331313110 is an apocalyptic number.

12002331313110 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 12002331313110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885272177920).

12002331313110 is an abundant number, since it is smaller than the sum of its proper divisors (17768213042730).

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

12002331313110 is a wasteful number, since it uses less digits than its factorization.

12002331313110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134590.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12002331313110 its reverse (1131313320021), we get a palindrome (13133644633131).

The spelling of 12002331313110 in words is "twelve trillion, two billion, three hundred thirty-one million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 67 118 134 177 201 295 335 354 402 590 670 757 885 1005 1514 1770 2010 2271 3785 3953 4542 7570 7906 11355 11859 19765 22710 23718 39530 44663 50719 59295 89326 101438 118590 133697 133989 152157 223315 253595 267394 267978 304314 401091 446630 507190 668485 669945 760785 802182 1336970 1339890 1521570 2005455 2992421 4010910 5984842 7888123 8957699 8977263 14962105 15776246 17915398 17954526 23664369 26873097 29924210 39440615 44788495 44886315 47328738 53746194 78881230 89576990 89772630 101208629 118321845 134365485 202417258 236643690 268730970 303625887 506043145 528504241 607251774 1012086290 1057008482 1518129435 1585512723 2642521205 3036258870 3171025446 5285042410 5971309111 6780978143 7927563615 11942618222 13561956286 15855127230 17913927333 20342934429 29856545555 33904890715 35827854666 40685868858 59713091110 67809781430 89569636665 101714672145 179139273330 203429344290 400077710437 800155420874 1200233131311 2000388552185 2400466262622 4000777104370 6001165656555 12002331313110