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11110012221 = 37113110115361
BaseRepresentation
bin10100101100011010…
…10101010100111101
31001200021110002122010
422112031111110331
5140223130342341
65034234041433
7542213355120
oct122615252475
931607402563
1011110012221
114791348690
1221a0879279
131080965439
1477574a3b7
15450570716
hex29635553d

11110012221 has 64 divisors (see below), whose sum is σ = 19254362112. Its totient is φ = 5529600000.

The previous prime is 11110012219. The next prime is 11110012231. The reversal of 11110012221 is 12221001111.

It is not a de Polignac number, because 11110012221 - 21 = 11110012219 is a prime.

11110012221 is a modest number, since divided by 12221 gives 11110 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11110012197 and 11110012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110012231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715581 + ... + 730941.

It is an arithmetic number, because the mean of its divisors is an integer number (300849408).

Almost surely, 211110012221 is an apocalyptic number.

11110012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11110012221 is a deficient number, since it is larger than the sum of its proper divisors (8144349891).

11110012221 is a wasteful number, since it uses less digits than its factorization.

11110012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15514.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11110012221 its reverse (12221001111), we get a palindrome (23331013332).

It can be divided in two parts, 111100 and 12221, that added together give a palindrome (123321).

The spelling of 11110012221 in words is "eleven billion, one hundred ten million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 31 33 77 93 101 217 231 303 341 651 707 1023 1111 2121 2387 3131 3333 7161 7777 9393 15361 21917 23331 34441 46083 65751 103323 107527 168971 241087 322581 476191 506913 723261 1182797 1428573 1551461 3333337 3548391 4654383 5238101 10000011 10860227 15714303 17066071 32580681 36666707 48095291 51198213 110000121 119462497 144285873 336667037 358387491 529048201 1010001111 1587144603 3703337407 11110012221