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100100211200 = 2952111017039
BaseRepresentation
bin101110100111001110…
…0000000001000000000
3100120101011012121011122
41131032130000020000
53120001123224300
6113552502531412
710142401520303
oct1351634001000
9316334177148
10100100211200
11394a7a61280
1217497436b68
1395934c8402
144bb84a8b3a
15290ce31c85
hex174e700200

100100211200 has 240 divisors, whose sum is σ = 273269652480. Its totient is φ = 36034560000.

The previous prime is 100100211193. The next prime is 100100211217. The reversal of 100100211200 is 2112001001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14217281 + ... + 14224319.

It is an arithmetic number, because the mean of its divisors is an integer number (1138623552).

Almost surely, 2100100211200 is an apocalyptic number.

100100211200 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 100100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136634826240).

100100211200 is an abundant number, since it is smaller than the sum of its proper divisors (173169441280).

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

100100211200 is a wasteful number, since it uses less digits than its factorization.

100100211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7179 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100211200 its reverse (2112001001), we get a palindrome (102212212201).

The spelling of 100100211200 in words is "one hundred billion, one hundred million, two hundred eleven thousand, two hundred".