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122202012101 = 1321742534637
BaseRepresentation
bin111000111001111001…
…1101011100111000101
3102200102110122102020012
41301303303223213011
54000232203341401
6132045553120005
711554164651521
oct1616363534705
9380373572205
10122202012101
1147909939434
121b825259005
13b6a6471800
145cb3988d81
1532a346d8bb
hex1c73ceb9c5

122202012101 has 12 divisors (see below), whose sum is σ = 140109097572. Its totient is φ = 106166451456.

The previous prime is 122202012091. The next prime is 122202012113. The reversal of 122202012101 is 101210202221.

It can be written as a sum of positive squares in 6 ways, for example, as 27011251201 + 95190760900 = 164351^2 + 308530^2 .

It is not a de Polignac number, because 122202012101 - 226 = 122134903237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202012901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21264446 + ... + 21270191.

It is an arithmetic number, because the mean of its divisors is an integer number (11675758131).

Almost surely, 2122202012101 is an apocalyptic number.

It is an amenable number.

122202012101 is a deficient number, since it is larger than the sum of its proper divisors (17907085471).

122202012101 is a wasteful number, since it uses less digits than its factorization.

122202012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42534680 (or 42534667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122202012101 its reverse (101210202221), we get a palindrome (223412214322).

The spelling of 122202012101 in words is "one hundred twenty-two billion, two hundred two million, twelve thousand, one hundred one".

Divisors: 1 13 17 169 221 2873 42534637 552950281 723088829 7188353653 9400154777 122202012101