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2000122211322 = 2321091975174773
BaseRepresentation
bin11101000110110000100…
…100101110101111111010
321002012122221210211101100
4131012300210232233322
5230232222241230242
64130502104232230
7264334615166214
oct35066044565772
97065587724340
102000122211322
11701279932a84
12283778a6b676
131167c2983971
146cb40bc35b4
1537063abd54c
hex1d1b092ebfa

2000122211322 has 48 divisors (see below), whose sum is σ = 4395556531080. Its totient is φ = 657237442176.

The previous prime is 2000122211221. The next prime is 2000122211369. The reversal of 2000122211322 is 2231122210002.

2000122211322 is a `hidden beast` number, since 200 + 0 + 122 + 21 + 1 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1989174565161 + 10947646161 = 1410381^2 + 104631^2 .

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 = 2000122211295 and 2000122211304.

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 23 ways as a sum of consecutive naturals, for example, 2200873 + ... + 2973900.

Almost surely, 22000122211322 is an apocalyptic number.

2000122211322 is an abundant number, since it is smaller than the sum of its proper divisors (2395434319758).

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

2000122211322 is a wasteful number, since it uses less digits than its factorization.

2000122211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175087 (or 5175084 counting only the distinct ones).

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

Adding to 2000122211322 its reverse (2231122210002), we get a palindrome (4231244421324).

The spelling of 2000122211322 in words is "two trillion, one hundred twenty-two million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 109 197 218 327 394 591 654 981 1182 1773 1962 3546 21473 42946 64419 128838 193257 386514 5174773 10349546 15524319 31048638 46572957 93145914 564050257 1019430281 1128100514 1692150771 2038860562 3058290843 3384301542 5076452313 6116581686 9174872529 10152904626 18349745058 111117900629 222235801258 333353701887 666707403774 1000061105661 2000122211322