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111220100000010 = 232517461157685197
BaseRepresentation
bin11001010010011101110010…
…100011010110100100001010
3112120210112111222221200120100
4121102131302203112210022
5104034212231100000020
61032313450353110230
732266246521431661
oct3122356243264412
9476715458850510
10111220100000010
11324901a7a47841
121058324a558376
134a0a019ba75a1
141d6711db41dd8
15ccd153d1da90
hex6527728d690a

111220100000010 has 96 divisors (see below), whose sum is σ = 306846564936912. Its totient is φ = 27853513021440.

The previous prime is 111220099999999. The next prime is 111220100000039. The reversal of 111220100000010 is 10000001022111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 80593405528689 + 30626694471321 = 8977383^2 + 5534139^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111220099999938 and 111220100000001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78137269 + ... + 79547928.

Almost surely, 2111220100000010 is an apocalyptic number.

111220100000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111220100000010 is an abundant number, since it is smaller than the sum of its proper divisors (195626464936902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111220100000010 is a wasteful number, since it uses less digits than its factorization.

111220100000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157685688 (or 157685685 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111220100000010 its reverse (10000001022111), we get a palindrome (121220101022121).

The spelling of 111220100000010 in words is "one hundred eleven trillion, two hundred twenty billion, one hundred million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 461 510 765 922 1383 1530 2305 2766 4149 4610 6915 7837 8298 13830 15674 20745 23511 39185 41490 47022 70533 78370 117555 141066 235110 352665 705330 157685197 315370394 473055591 788425985 946111182 1419166773 1576851970 2365277955 2680648349 2838333546 4730555910 5361296698 7095833865 8041945047 13403241745 14191667730 16083890094 24125835141 26806483490 40209725235 48251670282 72692875817 80419450470 120629175705 145385751634 218078627451 241258351410 363464379085 436157254902 654235882353 726928758170 1090393137255 1235778888889 1308471764706 2180786274510 2471557777778 3271179411765 3707336666667 6178894444445 6542358823530 7414673333334 11122010000001 12357788888890 18536683333335 22244020000002 37073366666670 55610050000005 111220100000010