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111102246112 = 251113110921893
BaseRepresentation
bin110011101111000110…
…1011011110011100000
3101121202220110212210011
41213132031123303200
53310014133333422
6123012322414304
711012134336654
oct1473615336340
9347686425704
10111102246112
1143133359a10
1219647b01394
13a627986040
14553d748a64
152d53c74077
hex19de35bce0

111102246112 has 96 divisors (see below), whose sum is σ = 257215966560. Its totient is φ = 46572165120.

The previous prime is 111102246109. The next prime is 111102246127. The reversal of 111102246112 is 211642201111.

It is a happy number.

It is a super-2 number, since 2×1111022461122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5063838 + ... + 5085730.

It is an arithmetic number, because the mean of its divisors is an integer number (2679332985).

Almost surely, 2111102246112 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 111102246112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128607983280).

111102246112 is an abundant number, since it is smaller than the sum of its proper divisors (146113720448).

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

111102246112 is a wasteful number, since it uses less digits than its factorization.

111102246112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23036 (or 23028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 111102246112 its reverse (211642201111), we get a palindrome (322744447223).

The spelling of 111102246112 in words is "one hundred eleven billion, one hundred two million, two hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1109 1144 2218 2288 4436 4576 8872 12199 14417 17744 21893 24398 28834 35488 43786 48796 57668 87572 97592 115336 158587 175144 195184 230672 240823 284609 317174 350288 390368 461344 481646 569218 634348 700576 963292 1138436 1268696 1926584 2276872 2537392 3130699 3853168 4553744 5074784 6261398 7706336 9107488 12522796 24279337 25045592 48558674 50091184 97117348 100182368 194234696 267072707 315631381 388469392 534145414 631262762 776938784 1068290828 1262525524 2136581656 2525051048 3471945191 4273163312 5050102096 6943890382 8546326624 10100204192 13887780764 27775561528 55551123056 111102246112