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11211100222112 = 257412081586603
BaseRepresentation
bin1010001100100100100110…
…1001010111001010100000
31110200202210211222001221022
42203021021221113022200
52432140313124101422
635502150333545012
72234655341362040
oct243111151271240
943622724861838
1011211100222112
11363266789129a
121310952945168
1363428235b49b
142aa897975720
1514695e3b8342
hexa3249a572a0

11211100222112 has 96 divisors (see below), whose sum is σ = 25852680088704. Its totient is φ = 4685307494400.

The previous prime is 11211100222111. The next prime is 11211100222129. The reversal of 11211100222112 is 21122200111211.

It is not an unprimeable number, because it can be changed into a prime (11211100222111) 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, 18818603 + ... + 19405205.

It is an arithmetic number, because the mean of its divisors is an integer number (269298750924).

Almost surely, 211211100222112 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 11211100222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926340044352).

11211100222112 is an abundant number, since it is smaller than the sum of its proper divisors (14641579866592).

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

11211100222112 is a wasteful number, since it uses less digits than its factorization.

11211100222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588742 (or 588734 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11211100222112 its reverse (21122200111211), we get a palindrome (32333300333323).

The spelling of 11211100222112 in words is "eleven trillion, two hundred eleven billion, one hundred million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2081 2296 4162 4592 8324 9184 14567 16648 29134 33296 58268 66592 85321 116536 170642 233072 341284 466144 586603 597247 682568 1173206 1194494 1365136 2346412 2388988 2730272 4106221 4692824 4777976 8212442 9385648 9555952 16424884 18771296 19111904 24050723 32849768 48101446 65699536 96202892 131399072 168355061 192405784 336710122 384811568 673420244 769623136 1220720843 1346840488 2441441686 2693680976 4882883372 5387361952 8545045901 9765766744 17090091802 19531533488 34180183604 39063066976 50049554563 68360367208 100099109126 136720734416 200198218252 273441468832 350346881941 400396436504 700693763882 800792873008 1401387527764 1601585746016 2802775055528 5605550111056 11211100222112