Search a number
-
+
113907029 is a prime number
BaseRepresentation
bin1101100101000…
…01010101010101
321221100002001212
412302201111111
5213130011104
615145231205
72552123315
oct662412525
9257302055
10113907029
1159330045
1232192505
131a7a2812
14111b1445
15a00036e
hex6ca1555

113907029 has 2 divisors, whose sum is σ = 113907030. Its totient is φ = 113907028.

The previous prime is 113907007. The next prime is 113907097. The reversal of 113907029 is 920709311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93566929 + 20340100 = 9673^2 + 4510^2 .

It is a cyclic number.

It is not a de Polignac number, because 113907029 - 216 = 113841493 is a prime.

It is a super-2 number, since 2×1139070292 = 25949622511213682, which contains 22 as substring.

It is a Chen prime.

It is equal to p6513836 and since 113907029 and 6513836 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 113906986 and 113907004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113907329) 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, 56953514 + 56953515.

It is an arithmetic number, because the mean of its divisors is an integer number (56953515).

Almost surely, 2113907029 is an apocalyptic number.

It is an amenable number.

113907029 is a deficient number, since it is larger than the sum of its proper divisors (1).

113907029 is an equidigital number, since it uses as much as digits as its factorization.

113907029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 113907029 is about 10672.7235980325. The cubic root of 113907029 is about 484.7489103112.

The spelling of 113907029 in words is "one hundred thirteen million, nine hundred seven thousand, twenty-nine".