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2133131031 = 3522738671
BaseRepresentation
bin111111100100100…
…1111111100010111
312111122212021200000
41333021033330113
513332040143111
6551400222343
7103601212623
oct17711177427
95448767600
102133131031
119a5107a09
124b646a9b3
1327cc1b015
14163432183
15c740dc56
hex7f24ff17

2133131031 has 24 divisors (see below), whose sum is σ = 3209466624. Its totient is φ = 1415786040.

The previous prime is 2133131027. The next prime is 2133131051. The reversal of 2133131031 is 1301313312.

It is a happy number.

2133131031 is a `hidden beast` number, since 21 + 331 + 310 + 3 + 1 = 666.

It is not a de Polignac number, because 2133131031 - 22 = 2133131027 is a prime.

It is a super-2 number, since 2×21331310312 = 9100495990830245922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133130995 and 2133131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133131051) 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, 35826 + ... + 74496.

It is an arithmetic number, because the mean of its divisors is an integer number (133727776).

Almost surely, 22133131031 is an apocalyptic number.

2133131031 is a deficient number, since it is larger than the sum of its proper divisors (1076335593).

2133131031 is an equidigital number, since it uses as much as digits as its factorization.

2133131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38913 (or 38901 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2133131031 is about 46185.8314962500. The cubic root of 2133131031 is about 1287.2784863638.

Adding to 2133131031 its reverse (1301313312), we get a palindrome (3434444343).

The spelling of 2133131031 in words is "two billion, one hundred thirty-three million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 27 81 227 243 681 2043 6129 18387 38671 55161 116013 348039 1044117 3132351 8778317 9397053 26334951 79004853 237014559 711043677 2133131031