Search a number
-
+
233131131029 is a prime number
BaseRepresentation
bin1101100100011110110…
…0101100000010010101
3211021202022100112011102
43121013230230002111
512304423032143104
6255033213115445
722562130626516
oct3310754540225
9737668315142
10233131131029
118a96349a325
1239223188b85
1318ca42bc014
14b3d8308a0d
1560e6de5a1e
hex3647b2c095

233131131029 has 2 divisors, whose sum is σ = 233131131030. Its totient is φ = 233131131028.

The previous prime is 233131130971. The next prime is 233131131061. The reversal of 233131131029 is 920131131332.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198675232900 + 34455898129 = 445730^2 + 185623^2 .

It is a cyclic number.

It is not a de Polignac number, because 233131131029 - 236 = 164411654293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233131130992 and 233131131010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233131131229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116565565514 + 116565565515.

It is an arithmetic number, because the mean of its divisors is an integer number (116565565515).

Almost surely, 2233131131029 is an apocalyptic number.

It is an amenable number.

233131131029 is a deficient number, since it is larger than the sum of its proper divisors (1).

233131131029 is an equidigital number, since it uses as much as digits as its factorization.

233131131029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 233131131029 in words is "two hundred thirty-three billion, one hundred thirty-one million, one hundred thirty-one thousand, twenty-nine".