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110322196992 = 2934722332
BaseRepresentation
bin110011010111110110…
…1110010001000000000
3101112202112200021120000
41212233231302020000
53301414440300432
6122403055320000
710653613126200
oct1465755621000
9345675607500
10110322196992
1142873005517
121946a820000
13a53219a107
1454a7cd4400
152d0a53d57c
hex19afb72200

110322196992 has 450 divisors, whose sum is σ = 384694169013. Its totient is φ = 31385346048.

The previous prime is 110322196939. The next prime is 110322197009. The reversal of 110322196992 is 299691223011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 99542774016 + 10779422976 = 315504^2 + 103824^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=234864.

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 44 ways as a sum of consecutive naturals, for example, 473485708 + ... + 473485940.

Almost surely, 2110322196992 is an apocalyptic number.

110322196992 is a gapful number since it is divisible by the number (12) 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 110322196992

110322196992 is an abundant number, since it is smaller than the sum of its proper divisors (274371972021).

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

110322196992 is an frugal number, since it uses more digits than its factorization.

110322196992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 110322196992 in words is "one hundred ten billion, three hundred twenty-two million, one hundred ninety-six thousand, nine hundred ninety-two".