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109318400 = 2852192931
BaseRepresentation
bin1101000010000…
…01000100000000
321121200221122122
412201001010000
5210441142100
614503023412
72465122352
oct641010400
9247627578
10109318400
1156786594
123073ab68
1319857059
14107390d2
1598e5985
hex6841100

109318400 has 216 divisors, whose sum is σ = 304147200. Its totient is φ = 38707200.

The previous prime is 109318393. The next prime is 109318403. The reversal of 109318400 is 4813901.

It is a self number, because there is not a number n which added to its sum of digits gives 109318400.

It is not an unprimeable number, because it can be changed into a prime (109318403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3526385 + ... + 3526415.

Almost surely, 2109318400 is an apocalyptic number.

109318400 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 109318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152073600).

109318400 is an abundant number, since it is smaller than the sum of its proper divisors (194828800).

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

109318400 is a wasteful number, since it uses less digits than its factorization.

109318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 109318400 is about 10455.5439839350. The cubic root of 109318400 is about 478.1502885794.

The spelling of 109318400 in words is "one hundred nine million, three hundred eighteen thousand, four hundred".