Search a number
-
+
103212211122 = 2331925294563
BaseRepresentation
bin110000000011111101…
…1010101101110110010
3100212102000222120112000
41200013323111232302
53142334311223442
6115225351514430
710312460214336
oct1400773255662
9325360876460
10103212211122
113a854669939
1218005688a16
13996b165397
144dd19077c6
152a4124ad4c
hex1807ed5bb2

103212211122 has 48 divisors (see below), whose sum is σ = 242067466080. Its totient is φ = 32593323672.

The previous prime is 103212211117. The next prime is 103212211153. The reversal of 103212211122 is 221112212301.

103212211122 is a `hidden beast` number, since 1 + 0 + 321 + 221 + 1 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103212211095 and 103212211104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2627788 + ... + 2666775.

It is an arithmetic number, because the mean of its divisors is an integer number (5043072210).

Almost surely, 2103212211122 is an apocalyptic number.

103212211122 is an abundant number, since it is smaller than the sum of its proper divisors (138855254958).

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

103212211122 is a wasteful number, since it uses less digits than its factorization.

103212211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5294612 (or 5294587 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103212211122 its reverse (221112212301), we get a palindrome (324324423423).

The spelling of 103212211122 in words is "one hundred three billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 2166 3249 6498 9747 19494 5294563 10589126 15883689 31767378 47651067 95302134 100596697 142953201 201193394 285906402 301790091 603580182 905370273 1810740546 1911337243 2716110819 3822674486 5432221638 5734011729 11468023458 17202035187 34404070374 51606105561 103212211122