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11122111410 = 2354113965053
BaseRepresentation
bin10100101101110110…
…11111001110110010
31001201010012210121020
422112323133032302
5140234230031120
65035345240310
7542421246534
oct122673371662
931633183536
1011122111410
114798161a13
1221a4933096
131083310617
147771b9854
15451660640
hex296edf3b2

11122111410 has 64 divisors (see below), whose sum is σ = 27541261440. Its totient is φ = 2872696320.

The previous prime is 11122111387. The next prime is 11122111423. The reversal of 11122111410 is 1411122111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11122111410.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138444 + ... + 203496.

It is an arithmetic number, because the mean of its divisors is an integer number (430332210).

Almost surely, 211122111410 is an apocalyptic number.

11122111410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122111410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770630720).

11122111410 is an abundant number, since it is smaller than the sum of its proper divisors (16419150030).

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

11122111410 is a wasteful number, since it uses less digits than its factorization.

11122111410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65243.

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

Adding to 11122111410 its reverse (1411122111), we get a palindrome (12533233521).

The spelling of 11122111410 in words is "eleven billion, one hundred twenty-two million, one hundred eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 139 205 246 278 410 417 615 695 834 1230 1390 2085 4170 5699 11398 17097 28495 34194 56990 65053 85485 130106 170970 195159 325265 390318 650530 975795 1951590 2667173 5334346 8001519 9042367 13335865 16003038 18084734 26671730 27127101 40007595 45211835 54254202 80015190 90423670 135635505 271271010 370737047 741474094 1112211141 1853685235 2224422282 3707370470 5561055705 11122111410