Search a number
-
+
123035200031 = 2833541122777
BaseRepresentation
bin111001010010101111…
…0000010101000011111
3102202120112102202012102
41302211132002220133
54003434002400111
6132304355155315
711613632642042
oct1624536025037
9382515382172
10123035200031
11481a71878a7
121ba182a5b3b
13b7a9c74713
145d524b2c59
15330169e13b
hex1ca5782a1f

123035200031 has 8 divisors (see below), whose sum is σ = 123505827984. Its totient is φ = 122564825280.

The previous prime is 123035200021. The next prime is 123035200039. The reversal of 123035200031 is 130002530321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123035200031 - 214 = 123035183647 is a prime.

It is a super-2 number, since 2×1230352000312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123035199976 and 123035200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123035200039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 940715 + ... + 1063491.

It is an arithmetic number, because the mean of its divisors is an integer number (15438228498).

Almost surely, 2123035200031 is an apocalyptic number.

123035200031 is a deficient number, since it is larger than the sum of its proper divisors (470627953).

123035200031 is a wasteful number, since it uses less digits than its factorization.

123035200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126601.

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 123035200031 its reverse (130002530321), we get a palindrome (253037730352).

The spelling of 123035200031 in words is "one hundred twenty-three billion, thirty-five million, two hundred thousand, thirty-one".

Divisors: 1 283 3541 122777 1002103 34745891 434753357 123035200031