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220001140120 = 23537971153089
BaseRepresentation
bin1100110011100100010…
…1101111110110011000
3210000212020221212200211
43030321011233312120
512101030242440440
6245022255540504
721615555556606
oct3147105576630
9700766855624
10220001140120
11853359a9873
1236779b2a734
1317991005a28
14a9105c2876
155ac9367eea
hex333916fd98

220001140120 has 64 divisors (see below), whose sum is σ = 508907901600. Its totient is φ = 85533327360.

The previous prime is 220001140109. The next prime is 220001140141. The reversal of 220001140120 is 21041100022.

It is a happy number.

It is a super-2 number, since 2×2200011401202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220001140120.

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, 1360536 + ... + 1513624.

Almost surely, 2220001140120 is an apocalyptic number.

220001140120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220001140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254453950800).

220001140120 is an abundant number, since it is smaller than the sum of its proper divisors (288906761480).

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

220001140120 is a wasteful number, since it uses less digits than its factorization.

220001140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154108 (or 154104 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220001140120 its reverse (21041100022), we get a palindrome (241042240142).

The spelling of 220001140120 in words is "two hundred twenty billion, one million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 971 1480 1942 3884 4855 7768 9710 19420 35927 38840 71854 143708 153089 179635 287416 306178 359270 612356 718540 765445 1224712 1437080 1530890 3061780 5664293 6123560 11328586 22657172 28321465 45314344 56642930 113285860 148649419 226571720 297298838 594597676 743247095 1189195352 1486494190 2972988380 5500028503 5945976760 11000057006 22000114012 27500142515 44000228024 55000285030 110000570060 220001140120