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109228234752 = 211337313443
BaseRepresentation
bin110010110111010000…
…0101001100000000000
3101102221022012020111000
41211232200221200000
53242144412003002
6122102340052000
710614530451000
oct1455640514000
9342838166430
10109228234752
114236154449a
1219204394000
13a3b9651690
1454028c8000
152c9449b61c
hex196e829800

109228234752 has 768 divisors, whose sum is σ = 407272320000. Its totient is φ = 28742418432.

The previous prime is 109228234741. The next prime is 109228234763. The reversal of 109228234752 is 257432822901.

109228234752 is a `hidden beast` number, since 10 + 92 + 2 + 82 + 3 + 475 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (109228234741) and next prime (109228234763).

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 109228234698 and 109228234707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246564643 + ... + 246565085.

It is an arithmetic number, because the mean of its divisors is an integer number (530302500).

Almost surely, 2109228234752 is an apocalyptic number.

109228234752 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 109228234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203636160000).

109228234752 is an abundant number, since it is smaller than the sum of its proper divisors (298044085248).

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

109228234752 is an equidigital number, since it uses as much as digits as its factorization.

109228234752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 109228234752 in words is "one hundred nine billion, two hundred twenty-eight million, two hundred thirty-four thousand, seven hundred fifty-two".