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12131302204 = 227417671109
BaseRepresentation
bin10110100110001010…
…01111101100111100
31011022110012000010001
423103011033230330
5144321103132304
65323435524044
7606424240000
oct132305175474
934273160101
1012131302204
11516589299a
1224268b9624
1311b4417c38
1483123a700
154b0059da4
hex2d314fb3c

12131302204 has 120 divisors (see below), whose sum is σ = 26638854480. Its totient is φ = 4815917568.

The previous prime is 12131302193. The next prime is 12131302213. The reversal of 12131302204 is 40220313121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10938402 + ... + 10939510.

It is an arithmetic number, because the mean of its divisors is an integer number (221990454).

Almost surely, 212131302204 is an apocalyptic number.

12131302204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131302204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319427240).

12131302204 is an abundant number, since it is smaller than the sum of its proper divisors (14507552276).

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

12131302204 is a wasteful number, since it uses less digits than its factorization.

12131302204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12131302204 its reverse (40220313121), we get a palindrome (52351615325).

The spelling of 12131302204 in words is "twelve billion, one hundred thirty-one million, three hundred two thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 67 68 98 119 134 196 238 268 343 469 476 686 833 938 1109 1139 1372 1666 1876 2218 2278 2401 3283 3332 4436 4556 4802 5831 6566 7763 7973 9604 11662 13132 15526 15946 18853 22981 23324 31052 31892 37706 40817 45962 54341 55811 74303 75412 81634 91924 108682 111622 131971 148606 160867 163268 217364 223244 263942 297212 321734 380387 390677 520121 527884 643468 760774 781354 923797 1040242 1263151 1521548 1562708 1847594 2080484 2526302 2662709 2734739 3640847 3695188 5052604 5325418 5469478 6466579 7281694 8842057 10650836 10938956 12933158 14563388 17684114 25485929 25866316 35368228 45266053 50971858 61894399 90532106 101943716 123788798 178401503 181064212 247577596 356803006 433260793 713606012 866521586 1733043172 3032825551 6065651102 12131302204