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2110010001120 = 253357177157809
BaseRepresentation
bin11110101101000110011…
…001011000011011100000
321110201022020001221022000
4132231012121120123200
5234032300030013440
64253154125044000
7305305005041220
oct36550631303340
97421266057260
102110010001120
1174393970198a
122a0b260b6600
13123c85b534a8
14741a7118080
1539d45ded730
hex1eb466586e0

2110010001120 has 768 divisors, whose sum is σ = 9062536089600. Its totient is φ = 447517163520.

The previous prime is 2110010001089. The next prime is 2110010001139. The reversal of 2110010001120 is 211000100112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36470776 + ... + 36528584.

It is an arithmetic number, because the mean of its divisors is an integer number (11800177200).

Almost surely, 22110010001120 is an apocalyptic number.

2110010001120 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 2110010001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531268044800).

2110010001120 is an abundant number, since it is smaller than the sum of its proper divisors (6952526088480).

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

2110010001120 is a wasteful number, since it uses less digits than its factorization.

2110010001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57928 (or 57914 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2110010001120 its reverse (211000100112), we get a palindrome (2321010101232).

The spelling of 2110010001120 in words is "two trillion, one hundred ten billion, ten million, one thousand, one hundred twenty".