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12002113110 = 23513103509587
BaseRepresentation
bin10110010110110000…
…11011011001010110
31010222110002111222210
423023120123121112
5144040020104420
65302542534250
7603265164261
oct131330333126
933873074883
1012002113110
1150a9975249
1223ab597386
1311937245a0
1481c00bcd8
154a3a3b9e0
hex2cb61b656

12002113110 has 128 divisors (see below), whose sum is σ = 31437020160. Its totient is φ = 2914960896.

The previous prime is 12002113099. The next prime is 12002113127. The reversal of 12002113110 is 1131120021.

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, 20446237 + ... + 20446823.

It is an arithmetic number, because the mean of its divisors is an integer number (245601720).

Almost surely, 212002113110 is an apocalyptic number.

12002113110 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 12002113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718510080).

12002113110 is an abundant number, since it is smaller than the sum of its proper divisors (19434907050).

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

12002113110 is a wasteful number, since it uses less digits than its factorization.

12002113110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12002113110 its reverse (1131120021), we get a palindrome (13133233131).

The spelling of 12002113110 in words is "twelve billion, two million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 130 195 206 309 390 509 515 587 618 1018 1030 1174 1339 1527 1545 1761 2545 2678 2935 3054 3090 3522 4017 5090 5870 6617 6695 7631 7635 8034 8805 13234 13390 15262 15270 17610 19851 20085 22893 33085 38155 39702 40170 45786 52427 60461 66170 76310 99255 104854 114465 120922 157281 181383 198510 228930 262135 298783 302305 314562 362766 524270 597566 604610 681551 785993 786405 896349 906915 1363102 1493915 1571986 1572810 1792698 1813830 2044653 2357979 2987830 3407755 3884179 3929965 4089306 4481745 4715958 6815510 7768358 7859930 8963490 10223265 11652537 11789895 19420895 20446530 23305074 23579790 30774649 38841790 58262685 61549298 92323947 116525370 153873245 184647894 307746490 400070437 461619735 800140874 923239470 1200211311 2000352185 2400422622 4000704370 6001056555 12002113110