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12220611117 = 31113137337617
BaseRepresentation
bin10110110000110011…
…11011101000101101
31011112200020100220120
423120121323220231
5200011434023432
65340350035153
7611560323561
oct133031735055
934480210816
1012220611117
115201242010
1224507a8ab9
1311c9a87450
1483d0476a1
154b7cebc2c
hex2d867ba2d

12220611117 has 64 divisors (see below), whose sum is σ = 19371066624. Its totient is φ = 6755696640.

The previous prime is 12220611101. The next prime is 12220611149. The reversal of 12220611117 is 71111602221.

It is not a de Polignac number, because 12220611117 - 24 = 12220611101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220611617) 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, 19806193 + ... + 19806809.

It is an arithmetic number, because the mean of its divisors is an integer number (302672916).

Almost surely, 212220611117 is an apocalyptic number.

It is an amenable number.

12220611117 is a deficient number, since it is larger than the sum of its proper divisors (7150455507).

12220611117 is a wasteful number, since it uses less digits than its factorization.

12220611117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118.

The product of its (nonzero) digits is 336, while the sum is 24.

The spelling of 12220611117 in words is "twelve billion, two hundred twenty million, six hundred eleven thousand, one hundred seventeen".

Divisors: 1 3 11 13 33 39 137 143 337 411 429 617 1011 1507 1781 1851 3707 4381 4521 5343 6787 8021 11121 13143 19591 20361 24063 46169 48191 58773 84529 88231 138507 144573 207929 253587 264693 507859 600197 623787 929819 1098877 1523577 1800591 2287219 2703077 2789457 3296631 6602167 6861657 8109231 12087647 19806501 28486273 29733847 36262941 85458819 89201541 313349003 370321549 940047009 1110964647 4073537039 12220611117