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122311330100 = 22521223113301
BaseRepresentation
bin111000111101001010…
…0101100100100110100
3102200201002100100022222
41301322110230210310
54000443200030400
6132104500141512
711556663103061
oct1617224544464
9380632310288
10122311330100
1147965614693
121b855997898
13b6c2cc860b
145cc42c3c68
1532acd64185
hex1c7a52c934

122311330100 has 18 divisors (see below), whose sum is σ = 265415586534. Its totient is φ = 48924532000.

The previous prime is 122311330061. The next prime is 122311330133. The reversal of 122311330100 is 1033113221.

It can be written as a sum of positive squares in 3 ways, for example, as 556393744 + 121754936356 = 23588^2 + 348934^2 .

It is a super-2 number, since 2×1223113301002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 611556551 + ... + 611556750.

It is an arithmetic number, because the mean of its divisors is an integer number (14745310363).

Almost surely, 2122311330100 is an apocalyptic number.

122311330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311330100 is an abundant number, since it is smaller than the sum of its proper divisors (143104256434).

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

122311330100 is a wasteful number, since it uses less digits than its factorization.

122311330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223113315 (or 1223113308 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 122311330100 its reverse (1033113221), we get a palindrome (123344443321).

The spelling of 122311330100 in words is "one hundred twenty-two billion, three hundred eleven million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1223113301 2446226602 4892453204 6115566505 12231133010 24462266020 30577832525 61155665050 122311330100