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12422512100 = 22524116718143
BaseRepresentation
bin10111001000111000…
…00111110111100100
31012001202010222222202
423210130013313210
5200420130341400
65412401314032
7616561416305
oct134434076744
935052128882
1012422512100
1152a5203229
1224a8335918
13122c858a9b
1485bba27ac
154ca8ce4d5
hex2e4707de4

12422512100 has 72 divisors (see below), whose sum is σ = 27781221888. Its totient is φ = 4818515200.

The previous prime is 12422512097. The next prime is 12422512103. The reversal of 12422512100 is 121522421.

It is an interprime number because it is at equal distance from previous prime (12422512097) and next prime (12422512103).

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

It is not an unprimeable number, because it can be changed into a prime (12422512103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675629 + ... + 693771.

It is an arithmetic number, because the mean of its divisors is an integer number (385850304).

Almost surely, 212422512100 is an apocalyptic number.

12422512100 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 12422512100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890610944).

12422512100 is an abundant number, since it is smaller than the sum of its proper divisors (15358709788).

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

12422512100 is a wasteful number, since it uses less digits than its factorization.

12422512100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18365 (or 18358 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 12422512100 in words is "twelve billion, four hundred twenty-two million, five hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 167 205 334 410 668 820 835 1025 1670 2050 3340 4100 4175 6847 8350 13694 16700 18143 27388 34235 36286 68470 72572 90715 136940 171175 181430 342350 362860 453575 684700 743863 907150 1487726 1814300 2975452 3029881 3719315 6059762 7438630 12119524 14877260 15149405 18596575 30298810 37193150 60597620 74386300 75747025 124225121 151494050 248450242 302988100 496900484 621125605 1242251210 2484502420 3105628025 6211256050 12422512100