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112032242322 = 2371113101184687
BaseRepresentation
bin110100001010110100…
…1000101101010010010
3101201011201102120202020
41220111221011222102
53313420223223242
6123244503432310
711044156230120
oct1502551055222
9351151376666
10112032242322
1143570309920
1219867455696
13a745552a60
1455cb072910
152daa7286ec
hex1a15a45a92

112032242322 has 128 divisors (see below), whose sum is σ = 303822102528. Its totient is φ = 26594784000.

The previous prime is 112032242297. The next prime is 112032242339. The reversal of 112032242322 is 223242230211.

It is a junction number, because it is equal to n+sod(n) for n = 112032242292 and 112032242301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514263 + ... + 698949.

It is an arithmetic number, because the mean of its divisors is an integer number (2373610176).

Almost surely, 2112032242322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112032242322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151911051264).

112032242322 is an abundant number, since it is smaller than the sum of its proper divisors (191789860206).

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

112032242322 is a wasteful number, since it uses less digits than its factorization.

112032242322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184824.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 112032242322 its reverse (223242230211), we get a palindrome (335274472533).

The spelling of 112032242322 in words is "one hundred twelve billion, thirty-two million, two hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 101 143 154 182 202 231 273 286 303 429 462 546 606 707 858 1001 1111 1313 1414 2002 2121 2222 2626 3003 3333 3939 4242 6006 6666 7777 7878 9191 14443 15554 18382 23331 27573 28886 43329 46662 55146 86658 101101 184687 202202 303303 369374 554061 606606 1108122 1292809 2031557 2400931 2585618 3878427 4063114 4801862 6094671 7202793 7756854 12189342 14220899 14405586 16806517 18653387 26410241 28441798 33613034 37306774 42662697 50419551 52820482 55960161 79230723 85325394 100839102 111920322 130573709 158461446 184871687 205187257 242494031 261147418 369743374 391721127 410374514 484988062 554615061 615561771 727482093 783442254 1109230122 1231123542 1436310799 1454964186 1697458217 2667434341 2872621598 3394916434 4308932397 5092374651 5334868682 8002303023 8617864794 10184749302 16004606046 18672040387 37344080774 56016121161 112032242322