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2122312121016 = 23388429671709
BaseRepresentation
bin11110111000100011101…
…010001111101010111000
321111220001120200101020020
4132320203222033222320
5234232443400333031
64302550550130440
7306221605244043
oct36704352175270
97456046611206
102122312121016
1174908195571a
122a339a050a20
13125196778989
1474a12cdbc5a
153a315e4b096
hex1ee23a8fab8

2122312121016 has 16 divisors (see below), whose sum is σ = 5305780302600. Its totient is φ = 707437373664.

The previous prime is 2122312121003. The next prime is 2122312121057. The reversal of 2122312121016 is 6101212132212.

It is a happy number.

It is a super-2 number, since 2×21223121210162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 88429671709 = 2122312121016 / (2 + 1 + 2 + 2 + 3 + 1 + 2 + 1 + 2 + 1 + 0 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44214835831 + ... + 44214835878.

Almost surely, 22122312121016 is an apocalyptic number.

It is an amenable number.

2122312121016 is an abundant number, since it is smaller than the sum of its proper divisors (3183468181584).

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

2122312121016 is a wasteful number, since it uses less digits than its factorization.

2122312121016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88429671718 (or 88429671714 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 2122312121016 its reverse (6101212132212), we get a palindrome (8223524253228).

The spelling of 2122312121016 in words is "two trillion, one hundred twenty-two billion, three hundred twelve million, one hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 88429671709 176859343418 265289015127 353718686836 530578030254 707437373672 1061156060508 2122312121016