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2112230322112 = 26536131732203
BaseRepresentation
bin11110101111001010101…
…111001110111111000000
321110221000221222221002211
4132233022233032333000
5234101321430301422
64254202322151504
7305414015334241
oct36571257167700
97427027887084
102112230322112
11744878a50a09
122a14457b2594
1312424ab4b3b1
1474337d64cc8
1539e25cd1577
hex1ebcabcefc0

2112230322112 has 112 divisors (see below), whose sum is σ = 4354377810912. Its totient is φ = 1015955066880.

The previous prime is 2112230322043. The next prime is 2112230322119.

2112230322112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21122303221122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112230322119) 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, 65575003 + ... + 65607205.

Almost surely, 22112230322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112230322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177188905456).

2112230322112 is an abundant number, since it is smaller than the sum of its proper divisors (2242147488800).

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

2112230322112 is a wasteful number, since it uses less digits than its factorization.

2112230322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32646 (or 32636 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 2112230 and 322112, that added together give a palindrome (2434342).

The spelling of 2112230322112 in words is "two trillion, one hundred twelve billion, two hundred thirty million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 212 244 317 424 488 634 848 976 1268 1696 1952 2536 3233 3392 3904 5072 6466 10144 12932 16801 19337 20288 25864 32203 33602 38674 51728 64406 67204 77348 103456 128812 134408 154696 206912 257624 268816 309392 515248 537632 618784 1024861 1030496 1075264 1237568 1706759 1964383 2049722 2060992 3413518 3928766 4099444 6827036 7857532 8198888 10208351 13654072 15715064 16397776 20416702 27308144 31430128 32795552 40833404 54616288 62860256 65591104 81666808 104112299 109232576 125720512 163333616 208224598 326667232 416449196 541042603 622709411 653334464 832898392 1082085206 1245418822 1665796784 2164170412 2490837644 3331593568 4328340824 4981675288 6663187136 8656681648 9963350576 17313363296 19926701152 33003598783 34626726592 39853402304 66007197566 132014395132 264028790264 528057580528 1056115161056 2112230322112