Search a number
-
+
12303430321 = 7137115112611
BaseRepresentation
bin10110111010101011…
…10111001010110001
31011202110002000111111
423131111313022301
5200144134232241
65352505113321
7613614301150
oct133525671261
934673060444
1012303430321
115243a69336
122474488841
131210c93ab0
1484a045597
154c020ac81
hex2dd5772b1

12303430321 has 32 divisors (see below), whose sum is σ = 15458881536. Its totient is φ = 9533160000.

The previous prime is 12303430313. The next prime is 12303430331.

12303430321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12303430321 - 23 = 12303430313 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12303430292 and 12303430301.

It is not an unprimeable number, because it can be changed into a prime (12303430331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969306 + ... + 981916.

It is an arithmetic number, because the mean of its divisors is an integer number (483090048).

Almost surely, 212303430321 is an apocalyptic number.

It is an amenable number.

12303430321 is a deficient number, since it is larger than the sum of its proper divisors (3155451215).

12303430321 is a wasteful number, since it uses less digits than its factorization.

12303430321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12853.

The product of its (nonzero) digits is 1296, while the sum is 22.

The spelling of 12303430321 in words is "twelve billion, three hundred three million, four hundred thirty thousand, three hundred twenty-one".

Divisors: 1 7 13 71 91 151 497 923 1057 1963 6461 10721 12611 13741 75047 88277 139373 163943 895381 975611 1147601 1904261 6267667 11639953 13329827 24755393 81479671 135202531 173287751 946417717 1757632903 12303430321