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12100102110 = 233546197213
BaseRepresentation
bin10110100010011100…
…01110011111011110
31011020021110212122000
423101032032133132
5144240111231420
65320403103130
7605565112425
oct132116163736
934207425560
1012100102110
11514a212898
122418371aa6
1311aab12945
1482b0382bc
154ac445690
hex2d138e7de

12100102110 has 64 divisors (see below), whose sum is σ = 32337264960. Its totient is φ = 3219661440.

The previous prime is 12100102097. The next prime is 12100102117. The reversal of 12100102110 is 1120100121.

It is a happy number.

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 = 12100102092 and 12100102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100102117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75864 + ... + 173076.

It is an arithmetic number, because the mean of its divisors is an integer number (505269765).

Almost surely, 212100102110 is an apocalyptic number.

12100102110 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 12100102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168632480).

12100102110 is an abundant number, since it is smaller than the sum of its proper divisors (20237162850).

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

12100102110 is a wasteful number, since it uses less digits than its factorization.

12100102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97690 (or 97684 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12100102110 its reverse (1120100121), we get a palindrome (13220202231).

The spelling of 12100102110 in words is "twelve billion, one hundred million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 461 922 1383 2305 2766 4149 4610 6915 8298 12447 13830 20745 24894 41490 62235 97213 124470 194426 291639 486065 583278 874917 972130 1458195 1749834 2624751 2916390 4374585 5249502 8749170 13123755 26247510 44815193 89630386 134445579 224075965 268891158 403336737 448151930 672227895 806673474 1210010211 1344455790 2016683685 2420020422 4033367370 6050051055 12100102110