Search a number
-
+
103110211211112 = 23327204583752403
BaseRepresentation
bin10111011100011100110111…
…100000110000111101101000
3111112002020110220102102021200
4113130130313200300331220
5102003324203032223422
61003144102131004200
730501316104216540
oct2734346740607550
9445066426372250
10103110211211112
112a943882172aa6
12b693549139660
13456c335b53c21
141b667bcd8c320
15bdc1ee92c2ac
hex5dc737830f68

103110211211112 has 48 divisors (see below), whose sum is σ = 319150653750240. Its totient is φ = 29460060345888.

The previous prime is 103110211211039. The next prime is 103110211211153. The reversal of 103110211211112 is 211112112011301.

103110211211112 is a `hidden beast` number, since 10 + 311 + 0 + 21 + 1 + 211 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102291875698 + ... + 102291876705.

It is an arithmetic number, because the mean of its divisors is an integer number (6648971953130).

Almost surely, 2103110211211112 is an apocalyptic number.

103110211211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103110211211112 is an abundant number, since it is smaller than the sum of its proper divisors (216040442539128).

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

103110211211112 is a wasteful number, since it uses less digits than its factorization.

103110211211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204583752422 (or 204583752415 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 103110211211112 its reverse (211112112011301), we get a palindrome (314222323222413).

The spelling of 103110211211112 in words is "one hundred three trillion, one hundred ten billion, two hundred eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 204583752403 409167504806 613751257209 818335009612 1227502514418 1432086266821 1636670019224 1841253771627 2455005028836 2864172533642 3682507543254 4296258800463 4910010057672 5728345067284 7365015086508 8592517600926 11456690134568 12888776401389 14730030173016 17185035201852 25777552802778 34370070403704 51555105605556 103110211211112