Search a number
-
+
123002200321 = 71113122879321
BaseRepresentation
bin111001010001110000…
…0001010000100000001
3102202111020100012002221
41302203200022010001
54003402030402241
6132301220011041
711613052311010
oct1624340120401
9382436305087
10123002200321
114818a598710
121ba09230a81
13b7a318c270
145d4bd62a77
1532ed8315d1
hex1ca380a101

123002200321 has 16 divisors (see below), whose sum is σ = 165149808768. Its totient is φ = 88473110400.

The previous prime is 123002200313. The next prime is 123002200339.

123002200321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 123002200321 - 23 = 123002200313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123002200295 and 123002200304.

It is not an unprimeable number, because it can be changed into a prime (123002200351) 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, 61438660 + ... + 61440661.

It is an arithmetic number, because the mean of its divisors is an integer number (10321863048).

Almost surely, 2123002200321 is an apocalyptic number.

123002200321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123002200321 is a deficient number, since it is larger than the sum of its proper divisors (42147608447).

123002200321 is a wasteful number, since it uses less digits than its factorization.

123002200321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122879352.

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 123002 and 200321, that added together give a palindrome (323323).

The spelling of 123002200321 in words is "one hundred twenty-three billion, two million, two hundred thousand, three hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 122879321 860155247 1351672531 1597431173 9461707717 11182018211 17571742903 123002200321