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100001222200 = 235211412714091
BaseRepresentation
bin101110100100010001…
…0011000111000111000
3100120010020221102210101
41131020202120320320
53114300303102300
6113535005125144
710140060235525
oct1351042307070
9316106842711
10100001222200
11394570a0390
121746a2597b4
139578b49b39
144ba929c14c
1529043cbb6a
hex1748898e38

100001222200 has 192 divisors, whose sum is σ = 260848304640. Its totient is φ = 35337600000.

The previous prime is 100001222173. The next prime is 100001222287. The reversal of 100001222200 is 2222100001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 24442155 + ... + 24446245.

It is an arithmetic number, because the mean of its divisors is an integer number (1358584920).

Almost surely, 2100001222200 is an apocalyptic number.

100001222200 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 100001222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130424152320).

100001222200 is an abundant number, since it is smaller than the sum of its proper divisors (160847082440).

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

100001222200 is a wasteful number, since it uses less digits than its factorization.

100001222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100001222200 its reverse (2222100001), we get a palindrome (102223322201).

The spelling of 100001222200 in words is "one hundred billion, one million, two hundred twenty-two thousand, two hundred".