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12320000132100 = 223523141271119227
BaseRepresentation
bin1011001101000111100100…
…1110110100010000000100
31121121210001222210002222220
42303101321032310100010
53103322330013211400
642111421355252340
72411043042162033
oct263217116642004
947553058702886
1012320000132100
113a1a9789903a1
12146b84714a0b0
136b4a03c4128b
1430841103c71a
151657113747a0
hexb34793b4404

12320000132100 has 288 divisors, whose sum is σ = 37832597225472. Its totient is φ = 3090337920000.

The previous prime is 12320000132087. The next prime is 12320000132117. The reversal of 12320000132100 is 123100002321.

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 12320000132100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103272687 + ... + 103391913.

Almost surely, 212320000132100 is an apocalyptic number.

12320000132100 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 12320000132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18916298612736).

12320000132100 is an abundant number, since it is smaller than the sum of its proper divisors (25512597093372).

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

12320000132100 is a wasteful number, since it uses less digits than its factorization.

12320000132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119587 (or 119580 counting only the distinct ones).

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

Adding to 12320000132100 its reverse (123100002321), we get a palindrome (12443100134421).

The spelling of 12320000132100 in words is "twelve trillion, three hundred twenty billion, one hundred thirty-two thousand, one hundred".