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2211111000112 = 247247577103997
BaseRepresentation
bin100000001011010000011…
…111000101100000110000
321211101021010102211020011
4200023100133011200300
5242211323404000422
64411434222224304
7315514251253300
oct40132037054060
97741233384204
102211111000112
117827aa574903
122b8640725094
131306787a3511
1479038497600
153c7b1b1a077
hex202d07c5830

2211111000112 has 120 divisors (see below), whose sum is σ = 5098361344704. Its totient is φ = 925840613376.

The previous prime is 2211111000103. The next prime is 2211111000113. The reversal of 2211111000112 is 2110001111122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2211111000092 and 2211111000101.

It is not an unprimeable number, because it can be changed into a prime (2211111000113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21209298 + ... + 21313294.

Almost surely, 22211111000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211111000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549180672352).

2211111000112 is an abundant number, since it is smaller than the sum of its proper divisors (2887250344592).

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

2211111000112 is a wasteful number, since it uses less digits than its factorization.

2211111000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104643 (or 104630 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2211111000112 its reverse (2110001111122), we get a palindrome (4321112111234).

The spelling of 2211111000112 in words is "two trillion, two hundred eleven billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 376 392 577 658 752 784 1154 1316 2303 2308 2632 4039 4606 4616 5264 8078 9212 9232 16156 18424 27119 28273 32312 36848 54238 56546 64624 103997 108476 113092 189833 207994 216952 226184 379666 415988 433904 452368 727979 759332 831976 1328831 1455958 1518664 1663952 2657662 2911916 3037328 4887859 5095853 5315324 5823832 9775718 10191706 10630648 11647664 19551436 20383412 21261296 34215013 39102872 40766824 60006269 68430026 78205744 81533648 120012538 136860052 239505091 240025076 273720104 420043883 479010182 480050152 547440208 840087766 958020364 960100304 1680175532 1916040728 2820294643 2940307181 3360351064 3832081456 5640589286 5880614362 6720702128 11281178572 11761228724 19742062501 22562357144 23522457448 39484125002 45124714288 47044914896 78968250004 138194437507 157936500008 276388875014 315873000016 552777750028 1105555500056 2211111000112