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1012313113011 = 321573492052803
BaseRepresentation
bin11101011101100101001…
…00000100000110110011
310120202221211201101010200
432232302210010012303
5113041204124104021
62053014503130243
7133065030325464
oct16566244040663
93522854641120
101012313113011
113603573a7a52
12144239743983
13745cb26c925
1436dd388cd6b
151b4ec736126
hexebb29041b3

1012313113011 has 24 divisors (see below), whose sum is σ = 1475760795600. Its totient is φ = 668655089856.

The previous prime is 1012313112983. The next prime is 1012313113027. The reversal of 1012313113011 is 1103113132101.

1012313113011 is a `hidden beast` number, since 10 + 12 + 31 + 311 + 301 + 1 = 666.

It is not a de Polignac number, because 1012313113011 - 26 = 1012313112947 is a prime.

It is a super-2 number, since 2×10123131130112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012313153011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533265 + ... + 1519538.

It is an arithmetic number, because the mean of its divisors is an integer number (61490033150).

Almost surely, 21012313113011 is an apocalyptic number.

1012313113011 is a deficient number, since it is larger than the sum of its proper divisors (463447682589).

1012313113011 is a wasteful number, since it uses less digits than its factorization.

1012313113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053315 (or 2053312 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1012313113011 its reverse (1103113132101), we get a palindrome (2115426245112).

The spelling of 1012313113011 in words is "one trillion, twelve billion, three hundred thirteen million, one hundred thirteen thousand, eleven".

Divisors: 1 3 9 157 349 471 1047 1413 3141 54793 164379 493137 2052803 6158409 18475227 322290071 716428247 966870213 2149284741 2900610639 6447854223 112479234779 337437704337 1012313113011