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11022110111012 = 22711137103387551
BaseRepresentation
bin1010000001100100100011…
…1101010011010100100100
31110000200222210201200200212
42200121020331103110210
52421041240142023022
635235253143554552
72215215110055350
oct240311075232444
943020883650625
1011022110111012
11356a4a58a2630
1212a01aa45ba58
1361c4c4019a90
142a1689bba460
15141a9c7d83e2
hexa0648f53524

11022110111012 has 96 divisors (see below), whose sum is σ = 25901817790464. Its totient is φ = 3963427344000.

The previous prime is 11022110110967. The next prime is 11022110111017. The reversal of 11022110111012 is 21011101122011.

It is a super-2 number, since 2×110221101110122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11022110111017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28246637 + ... + 28634187.

It is an arithmetic number, because the mean of its divisors is an integer number (269810601984).

Almost surely, 211022110111012 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 11022110111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950908895232).

11022110111012 is an abundant number, since it is smaller than the sum of its proper divisors (14879707679452).

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

11022110111012 is a wasteful number, since it uses less digits than its factorization.

11022110111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394689 (or 394687 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11022110111012 its reverse (21011101122011), we get a palindrome (32033211233023).

The spelling of 11022110111012 in words is "eleven trillion, twenty-two billion, one hundred ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 7103 14206 28412 49721 78133 92339 99442 156266 184678 198884 312532 369356 387551 546931 646373 775102 1015729 1093862 1292746 1550204 2031458 2187724 2585492 2712857 4062916 4263061 5038163 5425714 7110103 8526122 10076326 10851428 14220206 17052244 20152652 28440412 29841427 35267141 55419793 59682854 70534282 110839586 119365708 141068564 221679172 387938551 775877102 1551754204 2752774753 5505549506 11011099012 19269423271 30280522283 35786071789 38538846542 60561044566 71572143578 77077693084 121122089132 143144287156 211963655981 250502502523 393646789679 423927311962 501005005046 787293579358 847854623924 1002010010092 1574587158716 2755527527753 5511055055506 11022110111012