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122320120100 = 22521223201201
BaseRepresentation
bin111000111101011011…
…0001110100100100100
3102200201200212220221112
41301322312032210210
54001002422320400
6132105412404152
711560130602643
oct1617266164444
9380650786845
10122320120100
114796a578752
121b858916658
13b6c4a854b9
145cc553135a
1532ad9ed835
hex1c7ad8e924

122320120100 has 18 divisors (see below), whose sum is σ = 265434660834. Its totient is φ = 48928048000.

The previous prime is 122320120079. The next prime is 122320120183. The reversal of 122320120100 is 1021023221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2371495204 + 119948624896 = 48698^2 + 346336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611600501 + ... + 611600700.

Almost surely, 2122320120100 is an apocalyptic number.

122320120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122320120100 is an abundant number, since it is smaller than the sum of its proper divisors (143114540734).

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

122320120100 is a wasteful number, since it uses less digits than its factorization.

122320120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223201215 (or 1223201208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122320120100 its reverse (1021023221), we get a palindrome (123341143321).

The spelling of 122320120100 in words is "one hundred twenty-two billion, three hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1223201201 2446402402 4892804804 6116006005 12232012010 24464024020 30580030025 61160060050 122320120100