Search a number
-
+
123023201011 = 1771796831889
BaseRepresentation
bin111001010010011000…
…0010001001011110011
3102202112200212010122021
41302210300101023303
54003422414413021
6132303250052311
711613425645344
oct1624460211363
9382480763567
10123023201011
11481a0431857
121ba1427a097
13b7a7632cc9
145d50a6c0cb
1533005cdc41
hex1ca4c112f3

123023201011 has 32 divisors (see below), whose sum is σ = 134033356800. Its totient is φ = 112486133760.

The previous prime is 123023200999. The next prime is 123023201027. The reversal of 123023201011 is 110102320321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123023201011 is a prime.

It is a super-2 number, since 2×1230232010112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123023201071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65125155 + ... + 65127043.

It is an arithmetic number, because the mean of its divisors is an integer number (4188542400).

Almost surely, 2123023201011 is an apocalyptic number.

123023201011 is a deficient number, since it is larger than the sum of its proper divisors (11010155789).

123023201011 is a wasteful number, since it uses less digits than its factorization.

123023201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123023201011 its reverse (110102320321), we get a palindrome (233125521332).

The spelling of 123023201011 in words is "one hundred twenty-three billion, twenty-three million, two hundred one thousand, eleven".

Divisors: 1 17 71 79 683 1207 1343 1889 5609 11611 32113 48493 53957 95353 134119 149231 824381 917269 1290187 2280023 2536927 3830947 10595401 21933179 65126099 91603277 101924773 180121817 1557255709 1732721141 7236658883 123023201011