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1112211002112 = 2837254981163
BaseRepresentation
bin10000001011110100111…
…100010001001100000000
310221022210220012221120020
4100023310330101030000
5121210302004031422
62210535341413440
7143232424350540
oct20136474211400
93838726187506
101112211002112
1139976012a681
1215b67926a280
1380b5b879b02
143bb8d12d320
151dde7a0095c
hex102f4f11300

1112211002112 has 144 divisors (see below), whose sum is σ = 3384344006400. Its totient is φ = 317645991936.

The previous prime is 1112211002101. The next prime is 1112211002113. The reversal of 1112211002112 is 2112001122111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1112211002091 and 1112211002100.

It is not an unprimeable number, because it can be changed into a prime (1112211002113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13662843 + ... + 13744005.

Almost surely, 21112211002112 is an apocalyptic number.

1112211002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692172003200).

1112211002112 is an abundant number, since it is smaller than the sum of its proper divisors (2272133004288).

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

1112211002112 is an equidigital number, since it uses as much as digits as its factorization.

1112211002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83738 (or 83724 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1112211002112 its reverse (2112001122111), we get a palindrome (3224212124223).

The spelling of 1112211002112 in words is "one trillion, one hundred twelve billion, two hundred eleven million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2549 2688 5098 5376 7647 10196 15294 17843 20392 30588 35686 40784 53529 61176 71372 81163 81568 107058 122352 142744 162326 163136 214116 243489 244704 285488 324652 326272 428232 486978 489408 568141 570976 649304 652544 856464 973956 978816 1136282 1141952 1298608 1704423 1712928 1947912 1957632 2272564 2283904 2597216 3408846 3425856 3895824 4545128 4567808 5194432 6817692 6851712 7791648 9090256 10388864 13635384 13703424 15583296 18180512 20777728 27270768 31166592 36361024 54541536 62333184 72722048 109083072 145444096 206884487 218166144 413768974 436332288 620653461 827537948 1241306922 1448191409 1655075896 2482613844 2896382818 3310151792 4344574227 4965227688 5792765636 6620303584 8689148454 9930455376 11585531272 13240607168 17378296908 19860910752 23171062544 26481214336 34756593816 39721821504 46342125088 52962428672 69513187632 79443643008 92684250176 139026375264 158887286016 185368500352 278052750528 370737000704 556105501056 1112211002112