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12104311100 = 22527174124809
BaseRepresentation
bin10110100010111100…
…10010000100111100
31011020120101201021112
423101132102010330
5144242200423400
65321033221152
7605645642510
oct132136220474
934216351245
1012104311100
1151516280a2
1224198617b8
1311ab95767b
1482b812140
154ac9c7835
hex2d179213c

12104311100 has 144 divisors (see below), whose sum is σ = 32561040960. Its totient is φ = 3810508800.

The previous prime is 12104311099. The next prime is 12104311123. The reversal of 12104311100 is 111340121.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 475496 + ... + 500304.

It is an arithmetic number, because the mean of its divisors is an integer number (226118340).

Almost surely, 212104311100 is an apocalyptic number.

12104311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12104311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16280520480).

12104311100 is an abundant number, since it is smaller than the sum of its proper divisors (20456729860).

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

12104311100 is a wasteful number, since it uses less digits than its factorization.

12104311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24888 (or 24881 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12104311100 its reverse (111340121), we get a palindrome (12215651221).

The spelling of 12104311100 in words is "twelve billion, one hundred four million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 41 50 68 70 82 85 100 119 140 164 170 175 205 238 287 340 350 410 425 476 574 595 697 700 820 850 1025 1148 1190 1394 1435 1700 2050 2380 2788 2870 2975 3485 4100 4879 5740 5950 6970 7175 9758 11900 13940 14350 17425 19516 24395 24809 28700 34850 48790 49618 69700 97580 99236 121975 124045 173663 243950 248090 347326 421753 487900 496180 620225 694652 843506 868315 1017169 1240450 1687012 1736630 2034338 2108765 2480900 2952271 3473260 4068676 4217530 4341575 5085845 5904542 7120183 8435060 8683150 10171690 10543825 11809084 14240366 14761355 17291873 17366300 20343380 21087650 25429225 28480732 29522710 34583746 35600915 42175300 50858450 59045420 69167492 71201830 73806775 86459365 101716900 121043111 142403660 147613550 172918730 178004575 242086222 295227100 345837460 356009150 432296825 484172444 605215555 712018300 864593650 1210431110 1729187300 2420862220 3026077775 6052155550 12104311100