Search a number
-
+
102222111012 = 22373197404699
BaseRepresentation
bin101111100110011101…
…0011010000100100100
3100202212000221021111120
41133030322122010210
53133322330023022
6114543222333540
710246105415160
oct1371472320444
9322760837446
10102222111012
113a396797a8a
1217989b8a2b0
139840cb3328
144d3a215ca0
1529d4372d5c
hex17cce9a124

102222111012 has 96 divisors (see below), whose sum is σ = 284287180800. Its totient is φ = 27972725760.

The previous prime is 102222110989. The next prime is 102222111023. The reversal of 102222111012 is 210111222201.

102222111012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102222110982 and 102222111000.

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, 50239 + ... + 454937.

It is an arithmetic number, because the mean of its divisors is an integer number (2961324800).

Almost surely, 2102222111012 is an apocalyptic number.

102222111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142143590400).

102222111012 is an abundant number, since it is smaller than the sum of its proper divisors (182065069788).

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

102222111012 is a wasteful number, since it uses less digits than its factorization.

102222111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404841 (or 404839 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102222111012 its reverse (210111222201), we get a palindrome (312333333213).

The spelling of 102222111012 in words is "one hundred two billion, two hundred twenty-two million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 97 124 186 194 217 291 372 388 434 582 651 679 868 1164 1302 1358 2037 2604 2716 3007 4074 6014 8148 9021 12028 18042 21049 36084 42098 63147 84196 126294 252588 404699 809398 1214097 1618796 2428194 2832893 4856388 5665786 8498679 11331572 12545669 16997358 25091338 33994716 37637007 39255803 50182676 75274014 78511606 87819683 117767409 150548028 157023212 175639366 235534818 263459049 274790621 351278732 471069636 526918098 549581242 824371863 1053836196 1099162484 1216929893 1648743726 2433859786 3297487452 3650789679 4867719572 7301579358 8518509251 14603158716 17037018502 25555527753 34074037004 51111055506 102222111012