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31220122333213 = 11192179101943103
BaseRepresentation
bin1110001100101000000000…
…10011010011000000011101
311002112121121000010022100001
413012110000103103000131
513043002302304130323
6150222154243134301
76401402510165602
oct706240023230035
9132477530108301
1031220122333213
119a4741a1719a0
123602803974391
1314560778647a8
1479d0c21226a9
153921913473ad
hex1c65004d301d

31220122333213 has 48 divisors (see below), whose sum is σ = 36182325196800. Its totient is φ = 26711071443360.

The previous prime is 31220122333187. The next prime is 31220122333259. The reversal of 31220122333213 is 31233322102213.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-31220122333213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220122333313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724292820 + ... + 724335922.

It is an arithmetic number, because the mean of its divisors is an integer number (753798441600).

Almost surely, 231220122333213 is an apocalyptic number.

It is an amenable number.

31220122333213 is a deficient number, since it is larger than the sum of its proper divisors (4962202863587).

31220122333213 is a wasteful number, since it uses less digits than its factorization.

31220122333213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44350 (or 44331 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 31220122333213 its reverse (31233322102213), we get a palindrome (62453444435426).

The spelling of 31220122333213 in words is "thirty-one trillion, two hundred twenty billion, one hundred twenty-two million, three hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 11 19 179 209 361 1019 1969 3401 3971 11209 19361 37411 43103 64619 182401 212971 367859 474133 710809 818957 2006411 3465619 4046449 7715437 9008527 15560183 38121809 43921957 65846761 84869807 146593303 171162013 483141527 724314371 834517183 1612526333 2785272757 7862030303 9179689013 15855826477 30638000327 86482333333 149378575757 174414091247 1643164333327 2838192939383 31220122333213