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122020100109 = 341506420989
BaseRepresentation
bin111000110100011110…
…1101111100000001101
3102122221210100022220000
41301220331233200031
53444344121200414
6132015534114513
711546525511045
oct1615075574015
9378853308800
10122020100109
1147826190246
121b79434ba39
13b67787b58b
145c97754725
1532924d8b09
hex1c68f6f80d

122020100109 has 10 divisors (see below), whose sum is σ = 182276939790. Its totient is φ = 81346733352.

The previous prime is 122020100057. The next prime is 122020100117. The reversal of 122020100109 is 901001020221.

It can be written as a sum of positive squares in only one way, i.e., 121250204100 + 769896009 = 348210^2 + 27747^2 .

It is not a de Polignac number, because 122020100109 - 28 = 122020099853 is a prime.

It is a super-3 number, since 3×1220201001093 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122020100091 and 122020100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020100159) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 753210414 + ... + 753210575.

It is an arithmetic number, because the mean of its divisors is an integer number (18227693979).

Almost surely, 2122020100109 is an apocalyptic number.

It is an amenable number.

122020100109 is a deficient number, since it is larger than the sum of its proper divisors (60256839681).

122020100109 is an equidigital number, since it uses as much as digits as its factorization.

122020100109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506421001 (or 1506420992 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 122020100109 in words is "one hundred twenty-two billion, twenty million, one hundred thousand, one hundred nine".

Divisors: 1 3 9 27 81 1506420989 4519262967 13557788901 40673366703 122020100109