Search a number
-
+
220001221112000 = 2653101272278739
BaseRepresentation
bin110010000001011100000110…
…101000100111000011000000
31001211221220121100211110222112
4302001130012220213003000
5212314000000101041000
62055523055444154452
764224364230534626
oct6201340650470300
91054856540743875
10220001221112000
116410aaa2996959
1220811863998a28
13959b0455496a3
143c4818a109516
151a67b0b231235
hexc81706a270c0

220001221112000 has 112 divisors (see below), whose sum is σ = 550227412481760. Its totient is φ = 87129196160000.

The previous prime is 220001221111981. The next prime is 220001221112021. The reversal of 220001221112000 is 211122100022.

It is a super-2 number, since 2×2200012211120002 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135331370 + ... + 136947369.

Almost surely, 2220001221112000 is an apocalyptic number.

220001221112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220001221112000 is an abundant number, since it is smaller than the sum of its proper divisors (330226191369760).

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

220001221112000 is a wasteful number, since it uses less digits than its factorization.

220001221112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272278867 (or 272278847 counting only the distinct ones).

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

Adding to 220001221112000 its reverse (211122100022), we get a palindrome (220212343212022).

The spelling of 220001221112000 in words is "two hundred twenty trillion, one billion, two hundred twenty-one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 800 808 1000 1010 1600 1616 2000 2020 2525 3232 4000 4040 5050 6464 8000 8080 10100 12625 16160 20200 25250 32320 40400 50500 80800 101000 161600 202000 404000 808000 272278739 544557478 1089114956 1361393695 2178229912 2722787390 4356459824 5445574780 6806968475 8712919648 10891149560 13613936950 17425839296 21782299120 27227873900 27500152639 34034842375 43564598240 54455747800 55000305278 68069684750 87129196480 108911495600 110000610556 136139369500 137500763195 217822991200 220001221112 272278739000 275001526390 435645982400 440002442224 544557478000 550003052780 687503815975 880004884448 1089114956000 1100006105560 1375007631950 1760009768896 2178229912000 2200012211120 2750015263900 3437519079875 4400024422240 5500030527800 6875038159750 8800048844480 11000061055600 13750076319500 22000122111200 27500152639000 44000244222400 55000305278000 110000610556000 220001221112000