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112133004323312 = 24719533671270833
BaseRepresentation
bin11001011111101111111111…
…111000111110100111110000
3112201000210212212111022111202
4121133233333320332213300
5104144141343101321222
61034253105133030332
732422225244232230
oct3137577770764760
9481023785438452
10112133004323312
1132802381703735
12106b01643253a8
134a75134c7664b
141d993a2ca9cc0
15ce6c8419d892
hex65fbffe3e9f0

112133004323312 has 160 divisors (see below), whose sum is σ = 266367535672320. Its totient is φ = 44656340152320.

The previous prime is 112133004323287. The next prime is 112133004323323. The reversal of 112133004323312 is 213323400331211.

It is a congruent number.

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, 413894648 + ... + 414165480.

It is an arithmetic number, because the mean of its divisors is an integer number (1664797097952).

Almost surely, 2112133004323312 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 112133004323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183767836160).

112133004323312 is an abundant number, since it is smaller than the sum of its proper divisors (154234531349008).

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

112133004323312 is a wasteful number, since it uses less digits than its factorization.

112133004323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274591 (or 274585 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 112133004323312 its reverse (213323400331211), we get a palindrome (325456404654523).

The spelling of 112133004323312 in words is "one hundred twelve trillion, one hundred thirty-three billion, four million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 53 56 76 106 112 133 152 212 266 304 371 424 532 742 848 1007 1064 1484 2014 2128 2968 3671 4028 5936 7049 7342 8056 14098 14684 16112 25697 28196 29368 51394 56392 58736 69749 102788 112784 139498 194563 205576 270833 278996 389126 411152 488243 541666 557992 778252 976486 1083332 1115984 1361941 1556504 1895831 1952972 2166664 2723882 3113008 3696697 3791662 3905944 4333328 5145827 5447764 7393394 7583324 7811888 10291654 10895528 14354149 14786788 15166648 20583308 21791056 25876879 28708298 29573576 30333296 36020789 41166616 51753758 57416596 59147152 72041578 82333232 100479043 103507516 114833192 144083156 200958086 207015032 229666384 272728831 288166312 401916172 414030064 545457662 576332624 803832344 994227943 1090915324 1607664688 1909101817 1988455886 2181830648 3818203634 3976911772 4363661296 6959595601 7636407268 7953823544 13919191202 15272814536 15907647088 18890330917 27838382404 30545629072 37780661834 52694080979 55676764808 75561323668 105388161958 111353529616 132232316419 151122647336 210776323916 264464632838 302245294672 368858566853 421552647832 528929265676 737717133706 843105295664 1001187538601 1057858531352 1475434267412 2002375077202 2115717062704 2950868534824 4004750154404 5901737069648 7008312770207 8009500308808 14016625540414 16019000617616 28033251080828 56066502161656 112133004323312