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100054660200 = 2335211101150097
BaseRepresentation
bin101110100101110111…
…0001111010001101000
3100120020222111100221120
41131023232033101220
53114402443111300
6113544154335240
710141306402455
oct1351356172150
9316228440846
10100054660200
113948427a120
121748412a520
139586c3a061
144bb240c82c
152908e353a0
hex174bb8f468

100054660200 has 192 divisors, whose sum is σ = 341719110720. Its totient is φ = 24015360000.

The previous prime is 100054660187. The next prime is 100054660229. The reversal of 100054660200 is 2066450001.

100054660200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591552 + ... + 741648.

It is an arithmetic number, because the mean of its divisors is an integer number (1779787035).

Almost surely, 2100054660200 is an apocalyptic number.

100054660200 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 100054660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170859555360).

100054660200 is an abundant number, since it is smaller than the sum of its proper divisors (241664450520).

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

100054660200 is a wasteful number, since it uses less digits than its factorization.

100054660200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150228 (or 150219 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 100054660200 in words is "one hundred billion, fifty-four million, six hundred sixty thousand, two hundred".