Search a number
-
+
1220011010220 = 2235291948935977
BaseRepresentation
bin10001110000001110010…
…100101010100010101100
311022122001122221202102010
4101300032110222202230
5124442040304311340
62332244302001220
7154100003324502
oct21601624524254
94278048852363
101220011010220
11430449456272
12178543276210
138b07b348c62
1443098078672
1521b068cdb80
hex11c0e52a8ac

1220011010220 has 96 divisors (see below), whose sum is σ = 3534104548800. Its totient is φ = 314092929024.

The previous prime is 1220011010201. The next prime is 1220011010221. The reversal of 1220011010220 is 220101100221.

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 = 1220011010196 and 1220011010205.

It is not an unprimeable number, because it can be changed into a prime (1220011010221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33892872 + ... + 33928848.

It is an arithmetic number, because the mean of its divisors is an integer number (36813589050).

Almost surely, 21220011010220 is an apocalyptic number.

1220011010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220011010220 is an abundant number, since it is smaller than the sum of its proper divisors (2314093538580).

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

1220011010220 is a wasteful number, since it uses less digits than its factorization.

1220011010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55507 (or 55505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1220011010220 its reverse (220101100221), we get a palindrome (1440112110441).

Subtracting from 1220011010220 its reverse (220101100221), we obtain a palindrome (999909909999).

The spelling of 1220011010220 in words is "one trillion, two hundred twenty billion, eleven million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 19489 35977 38978 58467 71954 77956 97445 107931 116934 143908 179885 194890 215862 233868 292335 359770 389780 431724 539655 565181 584670 719540 1043333 1079310 1130362 1169340 1695543 2086666 2158620 2260724 2825905 3129999 3391086 4173332 5216665 5651810 6259998 6782172 8477715 10433330 11303620 12519996 15649995 16955430 20866660 31299990 33910860 62599980 701155753 1402311506 2103467259 2804623012 3505778765 4206934518 7011557530 8413869036 10517336295 14023115060 20333516837 21034672590 40667033674 42069345180 61000550511 81334067348 101667584185 122001101022 203335168370 244002202044 305002752555 406670336740 610005505110 1220011010220