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2220120002100 = 223527111337199811
BaseRepresentation
bin100000010011101001011…
…101101100111000110100
321212020111222110112122110
4200103221131230320310
5242333301210031400
64415524204331020
7316253433436230
oct40235135547064
97766458415573
102220120002100
117866029543a0
122ba335843a70
13131483086020
1479650b735c0
153cb3c9c3e50
hex204e976ce34

2220120002100 has 576 divisors, whose sum is σ = 8857765066752. Its totient is φ = 414326016000.

The previous prime is 2220120002057. The next prime is 2220120002117. The reversal of 2220120002100 is 12000210222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11011195 + ... + 11211005.

It is an arithmetic number, because the mean of its divisors is an integer number (15378064352).

Almost surely, 22220120002100 is an apocalyptic number.

2220120002100 is a gapful number since it is divisible by the number (20) 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 2220120002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428882533376).

2220120002100 is an abundant number, since it is smaller than the sum of its proper divisors (6637645064652).

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

2220120002100 is a wasteful number, since it uses less digits than its factorization.

2220120002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199896 (or 199889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2220120002100 its reverse (12000210222), we get a palindrome (2232120212322).

The spelling of 2220120002100 in words is "two trillion, two hundred twenty billion, one hundred twenty million, two thousand, one hundred".