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1222121300031 = 332316631183397
BaseRepresentation
bin10001110010001100000…
…110110010000000111111
311022211111201211120211000
4101302030012302000333
5130010401023100111
62333233524501343
7154203206436102
oct21621406620077
94284451746730
101222121300031
11431331682235
12178a31b4a853
138b3265ca558
1443218442739
1521bcbcc9c56
hex11c8c1b203f

1222121300031 has 32 divisors (see below), whose sum is σ = 1890407301120. Its totient is φ = 778854444192.

The previous prime is 1222121300003. The next prime is 1222121300093. The reversal of 1222121300031 is 1300031212221.

1222121300031 is a `hidden beast` number, since 122 + 212 + 1 + 300 + 0 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1222121300031 is a prime.

It is a super-2 number, since 2×12221213000312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1222121299977 and 1222121300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222121300431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441025 + ... + 1624421.

It is an arithmetic number, because the mean of its divisors is an integer number (59075228160).

Almost surely, 21222121300031 is an apocalyptic number.

1222121300031 is a deficient number, since it is larger than the sum of its proper divisors (668286001089).

1222121300031 is a wasteful number, since it uses less digits than its factorization.

1222121300031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185092 (or 1185086 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1222121300031 its reverse (1300031212221), we get a palindrome (2522152512252).

The spelling of 1222121300031 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, three hundred thousand, thirty-one".

Divisors: 1 3 9 23 27 69 207 621 1663 4989 14967 38249 44901 114747 344241 1032723 1183397 3550191 10650573 27218131 31951719 81654393 244963179 734889537 1967989211 5903967633 17711902899 45263751853 53135708697 135791255559 407373766677 1222121300031