Search a number
-
+
23301311103 = 32717167130279
BaseRepresentation
bin10101101100110111…
…011100101001111111
32020010220112020201100
4111230313130221333
5340210113423403
614412055544143
71453266606420
oct255467345177
966126466640
1023301311103
119977a89a04
12462368b053
132274628965
1411b0923647
159159cc2a3
hex56cddca7f

23301311103 has 48 divisors (see below), whose sum is σ = 40972538880. Its totient is φ = 12456661248.

The previous prime is 23301311093. The next prime is 23301311113. The reversal of 23301311103 is 30111310332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23301311093) and next prime (23301311113).

It is not a de Polignac number, because 23301311103 - 224 = 23284533887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301311113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113718 + ... + 243996.

It is an arithmetic number, because the mean of its divisors is an integer number (853594560).

Almost surely, 223301311103 is an apocalyptic number.

23301311103 is a deficient number, since it is larger than the sum of its proper divisors (17671227777).

23301311103 is a wasteful number, since it uses less digits than its factorization.

23301311103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130476 (or 130473 counting only the distinct ones).

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

Adding to 23301311103 its reverse (30111310332), we get a palindrome (53412621435).

The spelling of 23301311103 in words is "twenty-three billion, three hundred one million, three hundred eleven thousand, one hundred three".

Divisors: 1 3 7 9 17 21 51 63 119 153 167 357 501 1071 1169 1503 2839 3507 8517 10521 19873 25551 59619 130279 178857 390837 911953 1172511 2214743 2735859 6644229 8207577 15503201 19932687 21756593 46509603 65269779 139528809 152296151 195809337 369862081 456888453 1109586243 1370665359 2589034567 3328758729 7767103701 23301311103