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2110122013 = 73241277433
BaseRepresentation
bin111110111000101…
…1110100000011101
312110001120022020011
41331301132200131
513310142401023
6545215123221
7103201512136
oct17561364035
95401508204
102110122013
1199312199a
124aa813511
1327822310c
14160362c8d
15c53b650d
hex7dc5e81d

2110122013 has 16 divisors (see below), whose sum is σ = 2160636016. Its totient is φ = 2060328960.

The previous prime is 2110121999. The next prime is 2110122017. The reversal of 2110122013 is 3102210112.

It can be written as a sum of positive squares in 8 ways, for example, as 113998329 + 1996123684 = 10677^2 + 44678^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110122013 - 29 = 2110121501 is a prime.

It is a super-2 number, since 2×21101220132 = 8905229819494344338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2110121984 and 2110122002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110122017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4873045 + ... + 4873477.

It is an arithmetic number, because the mean of its divisors is an integer number (135039751).

Almost surely, 22110122013 is an apocalyptic number.

It is an amenable number.

2110122013 is a deficient number, since it is larger than the sum of its proper divisors (50514003).

2110122013 is a wasteful number, since it uses less digits than its factorization.

2110122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2110122013 is about 45936.0644047790. The cubic root of 2110122013 is about 1282.6333346448.

Adding to 2110122013 its reverse (3102210112), we get a palindrome (5212332125).

The spelling of 2110122013 in words is "two billion, one hundred ten million, one hundred twenty-two thousand, thirteen".

Divisors: 1 73 241 277 433 17593 20221 31609 66757 104353 119941 4873261 7617769 8755693 28905781 2110122013