Search a number
-
+
12232311030 = 23252358710067
BaseRepresentation
bin10110110010001101…
…00100000011110110
31011120111020210011200
423121012210003312
5200022432423110
65341444513330
7612061633242
oct133106440366
934514223150
1012232311030
115207903365
1224546ab846
1311cc322984
14840811422
154b8d5d6c0
hex2d91a40f6

12232311030 has 96 divisors (see below), whose sum is σ = 33246630144. Its totient is φ = 3114500928.

The previous prime is 12232311011. The next prime is 12232311043. The reversal of 12232311030 is 3011323221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12232310994 and 12232311012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1210057 + ... + 1220123.

It is an arithmetic number, because the mean of its divisors is an integer number (346319064).

Almost surely, 212232311030 is an apocalyptic number.

12232311030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623315072).

12232311030 is an abundant number, since it is smaller than the sum of its proper divisors (21014319114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12232311030 is a wasteful number, since it uses less digits than its factorization.

12232311030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10690 (or 10687 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12232311030 its reverse (3011323221), we get a palindrome (15243634251).

The spelling of 12232311030 in words is "twelve billion, two hundred thirty-two million, three hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 587 690 1035 1174 1761 2070 2935 3522 5283 5870 8805 10067 10566 13501 17610 20134 26415 27002 30201 40503 50335 52830 60402 67505 81006 90603 100670 121509 135010 151005 181206 202515 231541 243018 302010 405030 453015 463082 607545 694623 906030 1157705 1215090 1389246 2083869 2315410 3473115 4167738 5909329 6946230 10419345 11818658 17727987 20838690 29546645 35455974 53183961 59093290 88639935 106367922 135914567 177279870 265919805 271829134 407743701 531839610 679572835 815487402 1223231103 1359145670 2038718505 2446462206 4077437010 6116155515 12232311030