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2200022122131 = 3213118311019119
BaseRepresentation
bin100000000000111011100…
…010010111111010010011
321210022122022202110022200
4200000323202113322103
5242021121130402011
64402402021134243
7314642412330051
oct40007342277223
97708568673280
102200022122131
1177902a151739
122b6466b5a383
1312c5cc32a862
14786a588d1d1
153c363371856
hex2003b897e93

2200022122131 has 24 divisors (see below), whose sum is σ = 3203819773440. Its totient is φ = 1454689033200.

The previous prime is 2200022122127. The next prime is 2200022122157. The reversal of 2200022122131 is 1312212200022.

2200022122131 is a `hidden beast` number, since 220 + 0 + 0 + 221 + 221 + 3 + 1 = 666.

It is not a de Polignac number, because 2200022122131 - 22 = 2200022122127 is a prime.

It is a super-2 number, since 2×22000221221312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2200022122031) 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 23 ways as a sum of consecutive naturals, for example, 1649190 + ... + 2668308.

It is an arithmetic number, because the mean of its divisors is an integer number (133492490560).

Almost surely, 22200022122131 is an apocalyptic number.

2200022122131 is a deficient number, since it is larger than the sum of its proper divisors (1003797651309).

2200022122131 is a wasteful number, since it uses less digits than its factorization.

2200022122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021087 (or 1021084 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2200022122131 its reverse (1312212200022), we get a palindrome (3512234322153).

The spelling of 2200022122131 in words is "two trillion, two hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 131 393 1179 1831 5493 16479 239861 719583 1019119 2158749 3057357 9172071 133504589 400513767 1201541301 1866006889 5598020667 16794062001 244446902459 733340707377 2200022122131