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12302321100 = 2235246787811
BaseRepresentation
bin10110111010100011…
…01000010111001100
31011202100222122221020
423131101220113030
5200143343233400
65352425234140
7613602001236
oct133521502714
934670878836
1012302321100
115243380a23
122474032950
131210995c54
14849c37256
154c008c2a0
hex2dd4685cc

12302321100 has 72 divisors (see below), whose sum is σ = 35671341888. Its totient is φ = 3273556800.

The previous prime is 12302321047. The next prime is 12302321107. The reversal of 12302321100 is 112320321.

12302321100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12302321100.

It is not an unprimeable number, because it can be changed into a prime (12302321107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96195 + ... + 184005.

It is an arithmetic number, because the mean of its divisors is an integer number (495435304).

Almost surely, 212302321100 is an apocalyptic number.

12302321100 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 12302321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17835670944).

12302321100 is an abundant number, since it is smaller than the sum of its proper divisors (23369020788).

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

12302321100 is a wasteful number, since it uses less digits than its factorization.

12302321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88295 (or 88288 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12302321100 its reverse (112320321), we get a palindrome (12414641421).

The spelling of 12302321100 in words is "twelve billion, three hundred two million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 467 934 1401 1868 2335 2802 4670 5604 7005 9340 11675 14010 23350 28020 35025 46700 70050 87811 140100 175622 263433 351244 439055 526866 878110 1053732 1317165 1756220 2195275 2634330 4390550 5268660 6585825 8781100 13171650 26343300 41007737 82015474 123023211 164030948 205038685 246046422 410077370 492092844 615116055 820154740 1025193425 1230232110 2050386850 2460464220 3075580275 4100773700 6151160550 12302321100