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2113312133112 = 233679901132739
BaseRepresentation
bin11110110000001011001…
…110000000111111111000
321111000211100121121210220
4132300023032000333320
5234111030401224422
64254501525140040
7305452562513205
oct36601316007770
97430740547726
102113312133112
11745283672594
122a16a7b5a620
1312439100104b
14743db8cacac
1539e8ac72e5c
hex1ec0b380ff8

2113312133112 has 64 divisors (see below), whose sum is σ = 5362717238400. Its totient is φ = 693848073600.

The previous prime is 2113312133111. The next prime is 2113312133137.

2113312133112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113312133111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15854439 + ... + 15987177.

It is an arithmetic number, because the mean of its divisors is an integer number (83792456850).

Almost surely, 22113312133112 is an apocalyptic number.

It is an amenable number.

2113312133112 is an abundant number, since it is smaller than the sum of its proper divisors (3249405105288).

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

2113312133112 is a wasteful number, since it uses less digits than its factorization.

2113312133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142716 (or 142712 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The spelling of 2113312133112 in words is "two trillion, one hundred thirteen billion, three hundred twelve million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 9901 19802 29703 39604 59406 79208 118812 132739 237624 265478 398217 530956 663367 796434 1061912 1326734 1592868 1990101 2653468 3185736 3980202 5306936 7960404 8893513 15920808 17787026 26680539 35574052 53361078 71148104 106722156 213444312 1314248839 2628497678 3942746517 5256995356 7885493034 10513990712 15770986068 31541972136 88054672213 176109344426 264164016639 352218688852 528328033278 704437377704 1056656066556 2113312133112