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12226415013 = 3219376179401
BaseRepresentation
bin10110110001100000…
…00100100110100101
31011120002011020100200
423120300010212211
5200014430240023
65341114301113
7611660545551
oct133060044645
934502136320
1012226415013
11520454661a
122452727799
1311cb03a0c7
1483db18861
154b8596743
hex2d8c049a5

12226415013 has 96 divisors (see below), whose sum is σ = 19699929600. Its totient is φ = 7278336000.

The previous prime is 12226415009. The next prime is 12226415021. The reversal of 12226415013 is 31051462221.

12226415013 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 641 + 5 + 0 + 13 = 666.

It is not a de Polignac number, because 12226415013 - 22 = 12226415009 is a prime.

It is a super-2 number, since 2×122264150132 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12226415023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30489613 + ... + 30490013.

It is an arithmetic number, because the mean of its divisors is an integer number (205207600).

Almost surely, 212226415013 is an apocalyptic number.

It is an amenable number.

12226415013 is a deficient number, since it is larger than the sum of its proper divisors (7473514587).

12226415013 is a wasteful number, since it uses less digits than its factorization.

12226415013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12226415013 its reverse (31051462221), we get a palindrome (43277877234).

The spelling of 12226415013 in words is "twelve billion, two hundred twenty-six million, four hundred fifteen thousand, thirteen".

Divisors: 1 3 9 19 37 57 61 79 111 171 183 237 333 401 549 703 711 1159 1203 1501 2109 2257 2923 3477 3609 4503 4819 6327 6771 7619 8769 10431 13509 14457 14837 20313 22857 24461 26307 31679 42883 43371 44511 55537 68571 73383 91561 95037 128649 133533 166611 178303 220149 274683 281903 285111 385947 464759 499833 534909 601901 824049 845709 905057 1172123 1394277 1604727 1805703 1932419 2537127 2715171 3387757 3516369 4182831 5417109 5797257 8145513 10163271 10549107 17196083 17391771 22270337 30489813 36715961 51588249 66811011 71499503 110147883 154764747 200433033 214498509 330443649 643495527 1358490557 4075471671 12226415013