Search a number
-
+
1000120220220 = 2235113511743151
BaseRepresentation
bin11101000110110111100…
…11110111101000111100
310112121111002122020121210
432203123303313220330
5112341221234021340
62043240543124420
7132153624415212
oct16433363675074
93477432566553
101000120220220
1135616a878150
121419b62a3710
137340716ba74
14365983bccb2
151b0370b2180
hexe8dbcf7a3c

1000120220220 has 96 divisors (see below), whose sum is σ = 3055070462976. Its totient is φ = 242440864000.

The previous prime is 1000120220201. The next prime is 1000120220233. The reversal of 1000120220220 is 220220210001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000120220196 and 1000120220205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23155645 + ... + 23198795.

It is an arithmetic number, because the mean of its divisors is an integer number (31823650656).

Almost surely, 21000120220220 is an apocalyptic number.

1000120220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000120220220 is an abundant number, since it is smaller than the sum of its proper divisors (2054950242756).

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

1000120220220 is a wasteful number, since it uses less digits than its factorization.

1000120220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78291 (or 78289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1000120220220 its reverse (220220210001), we get a palindrome (1220340430221).

The spelling of 1000120220220 in words is "one trillion, one hundred twenty million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 35117 43151 70234 86302 105351 129453 140468 172604 175585 210702 215755 258906 351170 386287 421404 431510 474661 517812 526755 647265 702340 772574 863020 949322 1053510 1158861 1294530 1423983 1545148 1898644 1931435 2107020 2317722 2373305 2589060 2847966 3862870 4635444 4746610 5695932 5794305 7119915 7725740 9493220 11588610 14239830 23177220 28479660 1515333667 3030667334 4546001001 6061334668 7576668335 9092002002 15153336670 16668670337 18184004004 22730005005 30306673340 33337340674 45460010010 50006011011 66674681348 83343351685 90920020020 100012022022 166686703370 200024044044 250030055055 333373406740 500060110110 1000120220220