Search a number
-
+
112000222121220 = 22345116101595481
BaseRepresentation
bin11001011101110100010101…
…011101000100110100000100
3112200120010011001100120010000
4121131310111131010310010
5104140002423330334340
61034112105225401300
732406514625154426
oct3135642535046404
9480503131316100
10112000222121220
1132761033602a34
121068a487939230
134a657638668b4
141d92ba80d0816
15ce35b1e68d30
hex65dd15744d04

112000222121220 has 120 divisors (see below), whose sum is σ = 351352461215448. Its totient is φ = 29866418496000.

The previous prime is 112000222121171. The next prime is 112000222121239. The reversal of 112000222121220 is 22121222000211.

It is a happy number.

112000222121220 is a `hidden beast` number, since 1 + 1 + 200 + 0 + 2 + 221 + 21 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12338176105476 + 99662046015744 = 3512574^2 + 9983088^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112000222121193 and 112000222121202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187785880 + ... + 188381360.

Almost surely, 2112000222121220 is an apocalyptic number.

112000222121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112000222121220 is an abundant number, since it is smaller than the sum of its proper divisors (239352239094228).

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

112000222121220 is a wasteful number, since it uses less digits than its factorization.

112000222121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711603 (or 711592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112000222121220 its reverse (22121222000211), we get a palindrome (134121444121431).

The spelling of 112000222121220 in words is "one hundred twelve trillion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 116101 232202 348303 464404 580505 595481 696606 1044909 1161010 1190962 1393212 1741515 1786443 2089818 2322020 2381924 2977405 3134727 3483030 3572886 4179636 5224545 5359329 5954810 6269454 6966060 7145772 8932215 9404181 10449090 10718658 11909620 12538908 15673635 16077987 17864430 18808362 20898180 21437316 26796645 31347270 32155974 35728860 37616724 47020905 48233961 53593290 62694540 64311948 80389935 94041810 96467922 107186580 160779870 188083620 192935844 241169805 321559740 482339610 964679220 69135939581 138271879162 207407818743 276543758324 345679697905 414815637486 622223456229 691359395810 829631274972 1037039093715 1244446912458 1382718791620 1866670368687 2074078187430 2488893824916 3111117281145 3733340737374 4148156374860 5600011106061 6222234562290 7466681474748 9333351843435 11200022212122 12444469124580 18666703686870 22400044424244 28000055530305 37333407373740 56000111060610 112000222121220