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112000201010022 = 231379971237915137
BaseRepresentation
bin11001011101110100010100…
…001100100010101101100110
3112200120010002120121222222210
4121131310110030202231212
5104140002402424310042
61034112103153104250
732406514250546643
oct3135642414425546
9480503076558883
10112000201010022
11327610226a3866
121068a480858086
134a6575c384770
141d92ba5396dca
15ce35b0198a9c
hex65dd14322b66

112000201010022 has 128 divisors (see below), whose sum is σ = 246839404492800. Its totient is φ = 33669655658496.

The previous prime is 112000201010017. The next prime is 112000201010069. The reversal of 112000201010022 is 220010102000211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7399094038 + ... + 7399109174.

It is an arithmetic number, because the mean of its divisors is an integer number (1928432847600).

Almost surely, 2112000201010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112000201010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123419702246400).

112000201010022 is an abundant number, since it is smaller than the sum of its proper divisors (134839203482778).

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

112000201010022 is a wasteful number, since it uses less digits than its factorization.

112000201010022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27710.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112000201010022 its reverse (220010102000211), we get a palindrome (332010303010233).

The spelling of 112000201010022 in words is "one hundred twelve trillion, two hundred one million, ten thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 79 97 158 194 237 291 474 582 1027 1261 2054 2522 3081 3783 6162 7566 7663 12379 15137 15326 22989 24758 30274 37137 45411 45978 74274 90822 99619 160927 196781 199238 298857 321854 393562 482781 590343 597714 965562 977941 1180686 1195823 1200763 1468289 1955882 2391646 2401526 2933823 2936578 3587469 3602289 4404867 5867646 7174938 7204578 8809734 12713233 15545699 15609919 19087757 25426466 31091398 31219838 38139699 38175514 46637097 46829757 57263271 76279398 93274194 93659514 94860277 114526542 115994831 187380923 189720554 231989662 284580831 347984493 374761846 562142769 569161662 695968986 1124285538 1233183601 1507932803 2435951999 2466367202 3015865606 3699550803 4523798409 4871903998 7307855997 7399101606 9047596818 14615711994 14803092917 18175949531 29606185834 36351899062 44409278751 54527848593 88818557502 109055697186 192440207921 236287343903 384880415842 472574687806 577320623763 708862031709 1154641247526 1417724063418 1435900012949 2871800025898 4307700038847 8615400077694 18666700168337 37333400336674 56000100505011 112000201010022