Search a number
-
+
111000022220112 = 2434379767476889
BaseRepresentation
bin11001001111010000110100…
…111001001111110101010000
3112120000111110101210002212020
4121033100310321033311100
5104022111021142020422
61032024412314331440
732244326012242344
oct3117206471176520
9476014411702766
10111000022220112
1132405932862413
121054866aa29b80
1349c2346049a9c
141d5a6032cd624
15cc7572db795c
hex64f434e4fd50

111000022220112 has 80 divisors (see below), whose sum is σ = 293786821648320. Its totient is φ = 36094197113856.

The previous prime is 111000022220081. The next prime is 111000022220123. The reversal of 111000022220112 is 211022220000111.

It is a super-3 number, since 3×1110000222201123 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111000022220091 and 111000022220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32093437 + ... + 35383452.

It is an arithmetic number, because the mean of its divisors is an integer number (3672335270604).

Almost surely, 2111000022220112 is an apocalyptic number.

111000022220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111000022220112 is an abundant number, since it is smaller than the sum of its proper divisors (182786799428208).

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

111000022220112 is a wasteful number, since it uses less digits than its factorization.

111000022220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67477740 (or 67477734 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 111000022220112 its reverse (211022220000111), we get a palindrome (322022242220223).

The spelling of 111000022220112 in words is "one hundred eleven trillion, twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 797 1032 1594 2064 2391 3188 4782 6376 9564 12752 19128 34271 38256 68542 102813 137084 205626 274168 411252 548336 822504 1645008 67476889 134953778 202430667 269907556 404861334 539815112 809722668 1079630224 1619445336 2901506227 3238890672 5803012454 8704518681 11606024908 17409037362 23212049816 34818074724 46424099632 53779080533 69636149448 107558161066 139272298896 161337241599 215116322132 322674483198 430232644264 645348966396 860465288528 1290697932792 2312500462919 2581395865584 4625000925838 6937501388757 9250001851676 13875002777514 18500003703352 27750005555028 37000007406704 55500011110056 111000022220112