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109822935040 = 216571329127
BaseRepresentation
bin110011001000111110…
…1010000000000000000
3101111110202020010220121
41212101331100000000
53244404132410130
6122241342350024
710635341355040
oct1462175200000
9344422203817
10109822935040
1142637202635
121934b58b314
13a482912c40
14545b891720
152ccb7bdd7a
hex1991f50000

109822935040 has 544 divisors, whose sum is σ = 338226094080. Its totient is φ = 33294385152.

The previous prime is 109822935023. The next prime is 109822935041. The reversal of 109822935040 is 40539228901.

It is a super-2 number, since 2×1098229350402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109822935041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864747457 + ... + 864747583.

Almost surely, 2109822935040 is an apocalyptic number.

109822935040 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 109822935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169113047040).

109822935040 is an abundant number, since it is smaller than the sum of its proper divisors (228403159040).

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

109822935040 is an equidigital number, since it uses as much as digits as its factorization.

109822935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 109822935040 in words is "one hundred nine billion, eight hundred twenty-two million, nine hundred thirty-five thousand, forty".