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122100203322 = 2326783344629
BaseRepresentation
bin111000110110110111…
…1010011111100111010
3102200011101001222211200
41301231233103330322
54000030123001242
6132031515035030
711551520414106
oct1615557237472
9380141058750
10122100203322
1147867421a49
121b7b713ba76
13b68b346926
145ca4246906
15329955d04c
hex1c6dbd3f3a

122100203322 has 12 divisors (see below), whose sum is σ = 264550440570. Its totient is φ = 40700067768.

The previous prime is 122100203311. The next prime is 122100203371. The reversal of 122100203322 is 223302001221.

It can be written as a sum of positive squares in only one way, i.e., 121402768041 + 697435281 = 348429^2 + 26409^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6783344629 = 122100203322 / (1 + 2 + 2 + 1 + 0 + 0 + 2 + 0 + 3 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 122100203295 and 122100203304.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3391672297 + ... + 3391672332.

Almost surely, 2122100203322 is an apocalyptic number.

122100203322 is an abundant number, since it is smaller than the sum of its proper divisors (142450237248).

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

122100203322 is a wasteful number, since it uses less digits than its factorization.

122100203322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783344637 (or 6783344634 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122100203322 its reverse (223302001221), we get a palindrome (345402204543).

The spelling of 122100203322 in words is "one hundred twenty-two billion, one hundred million, two hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 6783344629 13566689258 20350033887 40700067774 61050101661 122100203322