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12111002130 = 23517231139137
BaseRepresentation
bin10110100011101111…
…10011101000010010
31011021000222122122110
423101313303220102
5144300404032010
65321432450150
7606056551053
oct132167635022
934230878573
1012111002130
115155388177
12241bb49956
1311b015b066
1482c67472a
154ad39a120
hex2d1df3a12

12111002130 has 128 divisors (see below), whose sum is σ = 32402032128. Its totient is φ = 2881421312.

The previous prime is 12111002077. The next prime is 12111002131. The reversal of 12111002130 is 3120011121.

It is not an unprimeable number, because it can be changed into a prime (12111002131) 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, 1320922 + ... + 1330058.

It is an arithmetic number, because the mean of its divisors is an integer number (253140876).

Almost surely, 212111002130 is an apocalyptic number.

12111002130 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 12111002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16201016064).

12111002130 is an abundant number, since it is smaller than the sum of its proper divisors (20291029998).

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

12111002130 is a wasteful number, since it uses less digits than its factorization.

12111002130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300.

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

Adding to 12111002130 its reverse (3120011121), we get a palindrome (15231013251).

The spelling of 12111002130 in words is "twelve billion, one hundred eleven million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 113 115 138 170 226 230 255 339 345 391 510 565 678 690 782 1130 1173 1695 1921 1955 2346 2599 3390 3842 3910 5198 5763 5865 7797 9137 9605 11526 11730 12995 15594 18274 19210 25990 27411 28815 38985 44183 45685 54822 57630 77970 88366 91370 132549 137055 155329 210151 220915 265098 274110 310658 420302 441830 465987 630453 662745 776645 931974 1032481 1050755 1260906 1325490 1553290 2064962 2101510 2329935 3097443 3152265 3572567 4659870 5162405 6194886 6304530 7145134 10324810 10717701 15487215 17552177 17862835 21435402 23747063 30974430 35104354 35725670 47494126 52656531 53588505 71241189 87760885 105313062 107177010 118735315 142482378 175521770 237470630 263282655 356205945 403700071 526565310 712411890 807400142 1211100213 2018500355 2422200426 4037000710 6055501065 12111002130