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2113144102120 = 235371427800069
BaseRepresentation
bin11110110000000001001…
…101000001110011101000
321111000101122102202121211
4132300001031001303220
5234110204342231440
64254433123442504
7305445452335012
oct36600115016350
97430348382554
102113144102120
117451a78353a7
122a165b826434
1312436525b01c
14743c346b1b2
1539e7b130eea
hex1ec01341ce8

2113144102120 has 32 divisors (see below), whose sum is σ = 4883076239400. Its totient is φ = 822412839168.

The previous prime is 2113144102109. The next prime is 2113144102169. The reversal of 2113144102120 is 212014413112.

It can be written as a sum of positive squares in 4 ways, for example, as 1797428225124 + 315715876996 = 1340682^2 + 561886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2113144102091 and 2113144102100.

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 7 ways as a sum of consecutive naturals, for example, 713898555 + ... + 713901514.

Almost surely, 22113144102120 is an apocalyptic number.

2113144102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113144102120 is an abundant number, since it is smaller than the sum of its proper divisors (2769932137280).

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

2113144102120 is a wasteful number, since it uses less digits than its factorization.

2113144102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427800117 (or 1427800113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 2113144102120 its reverse (212014413112), we get a palindrome (2325158515232).

The spelling of 2113144102120 in words is "two trillion, one hundred thirteen billion, one hundred forty-four million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1427800069 2855600138 5711200276 7139000345 11422400552 14278000690 28556001380 52828602553 57112002760 105657205106 211314410212 264143012765 422628820424 528286025530 1056572051060 2113144102120