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109700010000 = 24325473141137
BaseRepresentation
bin110011000101010100…
…0010101000000010000
3101111011011220220110100
41212022220111000100
53244131200310000
6122221231532400
710632316462020
oct1461250250020
9344134826410
10109700010000
1142583883199
121931638a100
13a463303829
145449413a80
152cc0adba00
hex198aa15010

109700010000 has 1200 divisors, whose sum is σ = 467008109568. Its totient is φ = 23500800000.

The previous prime is 109700009983. The next prime is 109700010001. The reversal of 109700010000 is 10007901.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (109700010001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 800729932 + ... + 800730068.

Almost surely, 2109700010000 is an apocalyptic number.

109700010000 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 109700010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233504054784).

109700010000 is an abundant number, since it is smaller than the sum of its proper divisors (357308099568).

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

109700010000 is a wasteful number, since it uses less digits than its factorization.

109700010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

Adding to 109700010000 its reverse (10007901), we get a palindrome (109710017901).

The spelling of 109700010000 in words is "one hundred nine billion, seven hundred million, ten thousand".