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12100111110 = 2325373679901
BaseRepresentation
bin10110100010011100…
…10000101100000110
31011020021111022222100
423101032100230012
5144240112023420
65320403212530
7605565150603
oct132116205406
934207438870
1012100111110
11514a21962a
122418377146
1311aab16a79
1482b03b6aa
154ac448190
hex2d1390b06

12100111110 has 96 divisors (see below), whose sum is σ = 32401878912. Its totient is φ = 3130617600.

The previous prime is 12100111057. The next prime is 12100111129. The reversal of 12100111110 is 1111100121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12100111092 and 12100111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1217160 + ... + 1227060.

It is an arithmetic number, because the mean of its divisors is an integer number (337519572).

Almost surely, 212100111110 is an apocalyptic number.

12100111110 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 12100111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200939456).

12100111110 is an abundant number, since it is smaller than the sum of its proper divisors (20301767802).

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

12100111110 is a wasteful number, since it uses less digits than its factorization.

12100111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12100111110 its reverse (1111100121), we get a palindrome (13211211231).

It can be divided in two parts, 1210011 and 1110, that added together give a palindrome (1211121).

The spelling of 12100111110 in words is "twelve billion, one hundred million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 367 370 555 666 734 1101 1110 1665 1835 2202 3303 3330 3670 5505 6606 9901 11010 13579 16515 19802 27158 29703 33030 40737 49505 59406 67895 81474 89109 99010 122211 135790 148515 178218 203685 244422 297030 366337 407370 445545 611055 732674 891090 1099011 1222110 1831685 2198022 3297033 3633667 3663370 5495055 6594066 7267334 10901001 10990110 16485165 18168335 21802002 32703003 32970330 36336670 54505005 65406006 109010010 134445679 163515015 268891358 327030030 403337037 672228395 806674074 1210011111 1344456790 2016685185 2420022222 4033370370 6050055555 12100111110