Search a number
-
+
123313210031 = 11192539232381
BaseRepresentation
bin111001011011000001…
…0100100001010101111
3102210021220120010020002
41302312002210022233
54010021140210111
6132352130014515
711623546663604
oct1626602441257
9383256503202
10123313210031
114832a101930
121ba9541743b
13b82274338b
145d7b3a06ab
15331acb763b
hex1cb60a42af

123313210031 has 16 divisors (see below), whose sum is σ = 141660067200. Its totient is φ = 106160479200.

The previous prime is 123313210003. The next prime is 123313210037. The reversal of 123313210031 is 130012313321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123313210031 is a prime.

It is a super-2 number, since 2×1233132100312 (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 = 123313209985 and 123313210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123313210037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414461 + ... + 646841.

It is an arithmetic number, because the mean of its divisors is an integer number (8853754200).

Almost surely, 2123313210031 is an apocalyptic number.

123313210031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123313210031 is a deficient number, since it is larger than the sum of its proper divisors (18346857169).

123313210031 is a wasteful number, since it uses less digits than its factorization.

123313210031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234950.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123313210031 its reverse (130012313321), we get a palindrome (253325523352).

The spelling of 123313210031 in words is "one hundred twenty-three billion, three hundred thirteen million, two hundred ten thousand, thirty-one".

Divisors: 1 11 19 209 2539 27929 48241 232381 530651 2556191 4415239 48567629 590015359 6490168949 11210291821 123313210031