Search a number
-
+
113906153 is a prime number
BaseRepresentation
bin1101100101000…
…01000111101001
321221100000212102
412302201013221
5213124444103
615145223145
72552120624
oct662410751
9257300772
10113906153
115932a419
1232191ab5
131a7a22ba
14111b0dbb
159eeee88
hex6ca11e9

113906153 has 2 divisors, whose sum is σ = 113906154. Its totient is φ = 113906152.

The previous prime is 113906123. The next prime is 113906161. The reversal of 113906153 is 351609311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113145769 + 760384 = 10637^2 + 872^2 .

It is a cyclic number.

It is not a de Polignac number, because 113906153 - 224 = 97128937 is a prime.

It is a super-2 number, since 2×1139061532 = 25949223382518818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113906123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56953076 + 56953077.

It is an arithmetic number, because the mean of its divisors is an integer number (56953077).

Almost surely, 2113906153 is an apocalyptic number.

It is an amenable number.

113906153 is a deficient number, since it is larger than the sum of its proper divisors (1).

113906153 is an equidigital number, since it uses as much as digits as its factorization.

113906153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 113906153 is about 10672.6825587572. The cubic root of 113906153 is about 484.7476676570.

The spelling of 113906153 in words is "one hundred thirteen million, nine hundred six thousand, one hundred fifty-three".