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109071799200 = 253252713166471
BaseRepresentation
bin110010110010100101…
…1111001001110100000
3101102112101211111020200
41211211023321032200
53241334340033300
6122035031105200
710610620665450
oct1454513711640
9342471744220
10109071799200
1142291207111
121917bb12200
13a39310b470
1453c9c05d60
152c8589a200
hex19652f93a0

109071799200 has 432 divisors, whose sum is σ = 473374452096. Its totient is φ = 23012812800.

The previous prime is 109071799183. The next prime is 109071799201. The reversal of 109071799200 is 2997170901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (109071799201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 571965 + ... + 738435.

Almost surely, 2109071799200 is an apocalyptic number.

109071799200 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 109071799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236687226048).

109071799200 is an abundant number, since it is smaller than the sum of its proper divisors (364302652896).

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

109071799200 is a wasteful number, since it uses less digits than its factorization.

109071799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166517 (or 166501 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The spelling of 109071799200 in words is "one hundred nine billion, seventy-one million, seven hundred ninety-nine thousand, two hundred".