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12212312013 = 32112232771997
BaseRepresentation
bin10110101111110100…
…10001011111001101
31011112002121201200100
423113322101133031
5200002322441023
65335452121313
7611426640126
oct132772213715
934462551610
1012212312013
1151a7593850
122449a66239
1311c813cb35
1483bcc704d
154b720cc43
hex2d7e917cd

12212312013 has 48 divisors (see below), whose sum is σ = 19409435136. Its totient is φ = 7337934720.

The previous prime is 12212311973. The next prime is 12212312017. The reversal of 12212312013 is 31021321221.

It is not a de Polignac number, because 12212312013 - 212 = 12212307917 is a prime.

It is a super-2 number, since 2×122123120132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212312017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6114331 + ... + 6116327.

It is an arithmetic number, because the mean of its divisors is an integer number (404363232).

Almost surely, 212212312013 is an apocalyptic number.

It is an amenable number.

12212312013 is a deficient number, since it is larger than the sum of its proper divisors (7197123123).

12212312013 is a wasteful number, since it uses less digits than its factorization.

12212312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12212312013 its reverse (31021321221), we get a palindrome (43233633234).

The spelling of 12212312013 in words is "twelve billion, two hundred twelve million, three hundred twelve thousand, thirteen".

Divisors: 1 3 9 11 33 99 223 277 669 831 1997 2007 2453 2493 3047 5991 7359 9141 17973 21967 22077 27423 61771 65901 185313 197703 445331 553169 555939 679481 1335993 1659507 2038443 4007979 4898641 4978521 6084859 6115329 14695923 18254577 44087769 54763731 123356687 370070061 1110210183 1356923557 4070770671 12212312013