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20131233113034 = 23213129147292909
BaseRepresentation
bin1001001001111001010101…
…11111111010001111001010
32122021112020020201101100200
410210330222333322033022
510114312231134104114
6110452054423113030
74145301503046651
oct444745277721712
978245206641320
1020131233113034
1164616762aa24a
1223116992a2776
13b304a07a4944
144d84dd3d6198
1524d9d60c6409
hex124f2affa3ca

20131233113034 has 48 divisors (see below), whose sum is σ = 43952289020640. Its totient is φ = 6658935323040.

The previous prime is 20131233113029. The next prime is 20131233113039. The reversal of 20131233113034 is 43031133213102.

20131233113034 is a `hidden beast` number, since 2 + 0 + 1 + 312 + 3 + 311 + 3 + 0 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (20131233113029) and next prime (20131233113039).

It is a junction number, because it is equal to n+sod(n) for n = 20131233112989 and 20131233113007.

It is not an unprimeable number, because it can be changed into a prime (20131233113039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68582172 + ... + 68875080.

It is an arithmetic number, because the mean of its divisors is an integer number (915672687930).

Almost surely, 220131233113034 is an apocalyptic number.

20131233113034 is an abundant number, since it is smaller than the sum of its proper divisors (23821055907606).

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

20131233113034 is a wasteful number, since it uses less digits than its factorization.

20131233113034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322195 (or 322192 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20131233113034 its reverse (43031133213102), we get a palindrome (63162366326136).

The spelling of 20131233113034 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty-three million, one hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2358 29147 58294 87441 174882 262323 292909 524646 585818 878727 1757454 2636181 3818257 5272362 7636514 11454771 22909542 34364313 38371079 68728626 76742158 115113237 230226474 345339711 690679422 8537418623 17074837246 25612255869 51224511738 76836767607 153673535214 1118401839613 2236803679226 3355205518839 6710411037678 10065616556517 20131233113034