Search a number
-
+
110001222221000 = 23531189112360799
BaseRepresentation
bin11001000000101110100111…
…110001100111110011001000
3112102111000101022101001010112
4121000232213301213303020
5103404230000342033000
61025541510332133452
732112216555314225
oct3100564761476310
9472430338331115
10110001222221000
11320602902439a0
1210406b82907288
13494c0bc575c56
141d241323b694c
15cab5b6b8c235
hex640ba7c67cc8

110001222221000 has 128 divisors (see below), whose sum is σ = 283958213760000. Its totient is φ = 39551000896000.

The previous prime is 110001222220991. The next prime is 110001222221053. The reversal of 110001222221000 is 122222100011.

It is a super-2 number, since 2×1100012222210002 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 55201400 + ... + 57159399.

It is an arithmetic number, because the mean of its divisors is an integer number (2218423545000).

Almost surely, 2110001222221000 is an apocalyptic number.

110001222221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001222221000 is an abundant number, since it is smaller than the sum of its proper divisors (173956991539000).

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

110001222221000 is a wasteful number, since it uses less digits than its factorization.

110001222221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112360920 (or 112360906 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110001222221000 its reverse (122222100011), we get a palindrome (110123444321011).

The spelling of 110001222221000 in words is "one hundred ten trillion, one billion, two hundred twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 89 100 110 125 178 200 220 250 275 356 440 445 500 550 712 890 979 1000 1100 1375 1780 1958 2200 2225 2750 3560 3916 4450 4895 5500 7832 8900 9790 11000 11125 17800 19580 22250 24475 39160 44500 48950 89000 97900 122375 195800 244750 489500 979000 112360799 224721598 449443196 561803995 898886392 1123607990 1235968789 2247215980 2471937578 2809019975 4494431960 4943875156 5618039950 6179843945 9887750312 10000111111 11236079900 12359687890 14045099875 20000222222 22472159800 24719375780 28090199750 30899219725 40000444444 49438751560 50000555555 56180399500 61798439450 80000888888 100001111110 110001222221 112360799000 123596878900 154496098625 200002222220 220002444442 247193757800 250002777775 308992197250 400004444440 440004888884 500005555550 550006111105 617984394500 880009777768 1000011111100 1100012222210 1235968789000 1250013888875 2000022222200 2200024444420 2500027777750 2750030555525 4400048888840 5000055555500 5500061111050 10000111111000 11000122222100 13750152777625 22000244444200 27500305555250 55000611110500 110001222221000