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2111123310120 = 23325113730746933
BaseRepresentation
bin11110101110001000110…
…000010100011000101000
321110211011210221220010200
4132232020300110120220
5234042040031410440
64253500415112200
7305344414025106
oct36561060243050
97424153856120
102111123310120
11744360087470
122a1196b12660
131241026b3c06
1474270d1cc76
1539dada12c30
hex1eb88c14628

2111123310120 has 384 divisors, whose sum is σ = 7712390125440. Its totient is φ = 496322795520.

The previous prime is 2111123310113. The next prime is 2111123310143. The reversal of 2111123310120 is 210133211112.

2111123310120 is a `hidden beast` number, since 2 + 111 + 123 + 310 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2111123310093 and 2111123310102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44958174 + ... + 45005106.

It is an arithmetic number, because the mean of its divisors is an integer number (20084349285).

Almost surely, 22111123310120 is an apocalyptic number.

2111123310120 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 2111123310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856195062720).

2111123310120 is an abundant number, since it is smaller than the sum of its proper divisors (5601266815320).

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

2111123310120 is a wasteful number, since it uses less digits than its factorization.

2111123310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47305 (or 47298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2111123310120 its reverse (210133211112), we get a palindrome (2321256521232).

The spelling of 2111123310120 in words is "two trillion, one hundred eleven billion, one hundred twenty-three million, three hundred ten thousand, one hundred twenty".