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12311344100 = 22521123946829
BaseRepresentation
bin10110111011101000…
…00011001111100100
31011202222222002011102
423131310003033210
5200203201002400
65353350455232
7614041461326
oct133564031744
934688862142
1012311344100
115248484050
122477064518
131212804bc3
1484b105616
154c0c709d5
hex2ddd033e4

12311344100 has 72 divisors (see below), whose sum is σ = 29266876800. Its totient is φ = 4458025600.

The previous prime is 12311344079. The next prime is 12311344117. The reversal of 12311344100 is 144311321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239486 + ... + 286314.

It is an arithmetic number, because the mean of its divisors is an integer number (406484400).

Almost surely, 212311344100 is an apocalyptic number.

12311344100 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 12311344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14633438400).

12311344100 is an abundant number, since it is smaller than the sum of its proper divisors (16955532700).

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

12311344100 is a wasteful number, since it uses less digits than its factorization.

12311344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47093 (or 47086 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12311344100 its reverse (144311321), we get a palindrome (12455655421).

The spelling of 12311344100 in words is "twelve billion, three hundred eleven million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 239 275 478 550 956 1100 1195 2390 2629 4780 5258 5975 10516 11950 13145 23900 26290 46829 52580 65725 93658 131450 187316 234145 262900 468290 515119 936580 1030238 1170725 2060476 2341450 2575595 4682900 5151190 10302380 11192131 12877975 22384262 25755950 44768524 51511900 55960655 111921310 123113441 223842620 246226882 279803275 492453764 559606550 615567205 1119213100 1231134410 2462268820 3077836025 6155672050 12311344100