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12231311001 = 3713372335197
BaseRepresentation
bin10110110010000101…
…01111111010011001
31011120102100222101120
423121002233322121
5200022203423001
65341411235453
7612050266560
oct133102577231
934512328346
1012231311001
11520728aa98
1224542a8b89
1311cc062740
14840630bd7
154b8c12236
hex2d90afe99

12231311001 has 64 divisors (see below), whose sum is σ = 20706835968. Its totient is φ = 6249166848.

The previous prime is 12231310951. The next prime is 12231311021. The reversal of 12231311001 is 10011313221.

It is a happy number.

It is not a de Polignac number, because 12231311001 - 211 = 12231308953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12231311021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2350935 + ... + 2356131.

It is an arithmetic number, because the mean of its divisors is an integer number (323544312).

Almost surely, 212231311001 is an apocalyptic number.

It is an amenable number.

12231311001 is a deficient number, since it is larger than the sum of its proper divisors (8475524967).

12231311001 is a wasteful number, since it uses less digits than its factorization.

12231311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12231311001 its reverse (10011313221), we get a palindrome (22242624222).

The spelling of 12231311001 in words is "twelve billion, two hundred thirty-one million, three hundred eleven thousand, one".

Divisors: 1 3 7 13 21 37 39 91 111 233 259 273 481 699 777 1443 1631 3029 3367 4893 5197 8621 9087 10101 15591 21203 25863 36379 60347 63609 67561 109137 112073 181041 192289 202683 336219 472927 576867 784511 1210901 1346023 1418781 2353533 2499757 3632703 4038069 7499271 8476307 15741713 17498299 25428921 44803337 47225139 52494897 110191991 134410011 313623359 330575973 582443381 940870077 1747330143 4077103667 12231311001