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122310322020 = 22325679501789
BaseRepresentation
bin111000111101001000…
…0110110011101100100
3102200201000110010111200
41301322100312131210
54000442420301040
6132104422402500
711556651404055
oct1617220663544
9380630403450
10122310322020
1147964a96267
121b855590430
13b6c2a34813
145cc410072c
1532acc15630
hex1c7a436764

122310322020 has 36 divisors (see below), whose sum is σ = 371007977340. Its totient is φ = 32616085824.

The previous prime is 122310322007. The next prime is 122310322027. The reversal of 122310322020 is 20223013221.

122310322020 is a `hidden beast` number, since 12 + 2 + 310 + 322 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25926152256 + 96384169764 = 161016^2 + 310458^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122310321984 and 122310322002.

It is not an unprimeable number, because it can be changed into a prime (122310322027) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 339750715 + ... + 339751074.

Almost surely, 2122310322020 is an apocalyptic number.

122310322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122310322020 is an abundant number, since it is smaller than the sum of its proper divisors (248697655320).

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

122310322020 is a wasteful number, since it uses less digits than its factorization.

122310322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679501804 (or 679501799 counting only the distinct ones).

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

Adding to 122310322020 its reverse (20223013221), we get a palindrome (142533335241).

The spelling of 122310322020 in words is "one hundred twenty-two billion, three hundred ten million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 679501789 1359003578 2038505367 2718007156 3397508945 4077010734 6115516101 6795017890 8154021468 10192526835 12231032202 13590035780 20385053670 24462064404 30577580505 40770107340 61155161010 122310322020