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2133331122 = 2313177322039
BaseRepresentation
bin111111100101000…
…0000110010110010
312111200020110010210
41333022000302302
513332113043442
6551404404550
7103603005156
oct17712006262
95450213123
102133331122
119a523427a
124b6546756
1327cc8b110
14163485066
15c744d19c
hex7f280cb2

2133331122 has 64 divisors (see below), whose sum is σ = 4932023040. Its totient is φ = 609306624.

The previous prime is 2133331117. The next prime is 2133331133. The reversal of 2133331122 is 2211333312.

It is a super-2 number, since 2×21333311222 = 9102203352187557768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85779 + ... + 107817.

It is an arithmetic number, because the mean of its divisors is an integer number (77062860).

Almost surely, 22133331122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466011520).

2133331122 is an abundant number, since it is smaller than the sum of its proper divisors (2798691918).

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

2133331122 is a wasteful number, since it uses less digits than its factorization.

2133331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22147.

The product of its digits is 648, while the sum is 21.

The square root of 2133331122 is about 46187.9975967783. The cubic root of 2133331122 is about 1287.3187346784.

Adding to 2133331122 its reverse (2211333312), we get a palindrome (4344664434).

The spelling of 2133331122 in words is "two billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 73 78 102 146 219 221 438 442 663 949 1241 1326 1898 2482 2847 3723 5694 7446 16133 22039 32266 44078 48399 66117 96798 132234 286507 374663 573014 749326 859521 1123989 1608847 1719042 2247978 3217694 4826541 4870619 9653082 9741238 14611857 20915011 27350399 29223714 41830022 54700798 62745033 82051197 125490066 164102394 355555187 711110374 1066665561 2133331122