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12100153847880 = 23357192331234301
BaseRepresentation
bin1011000000010100100101…
…0111110011000001001000
31120211202121112012201122210
42300011021113303001020
53041222103341113010
641422422310345120
72356131043455060
oct260051127630110
946752545181583
1012100153847880
11394571244010a
12143511105b1a0
1369a069047777
142db91724a3a0
1515eb458e9b20
hexb01495f3048

12100153847880 has 768 divisors, whose sum is σ = 47087151206400. Its totient is φ = 2425344768000.

The previous prime is 12100153847879. The next prime is 12100153847897. The reversal of 12100153847880 is 8874835100121.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 352746730 + ... + 352781030.

It is an arithmetic number, because the mean of its divisors is an integer number (61311394800).

Almost surely, 212100153847880 is an apocalyptic number.

12100153847880 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 12100153847880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543575603200).

12100153847880 is an abundant number, since it is smaller than the sum of its proper divisors (34986997358520).

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

12100153847880 is a wasteful number, since it uses less digits than its factorization.

12100153847880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34426 (or 34391 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 12100153847880 in words is "twelve trillion, one hundred billion, one hundred fifty-three million, eight hundred forty-seven thousand, eight hundred eighty".