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220121201020 = 225767179131101
BaseRepresentation
bin1100110100000000111…
…1101111100101111100
3210001011121212121021211
43031000033233211330
512101302011413040
6245042225134204
721621544223440
oct3150017574574
9701147777254
10220121201020
1185397752356
12367b218a364
13179acb51596
14a922516820
155ad4b818ea
hex33403ef97c

220121201020 has 96 divisors (see below), whose sum is σ = 539175329280. Its totient is φ = 73927814400.

The previous prime is 220121201009. The next prime is 220121201039. The reversal of 220121201020 is 20102121022.

It is a happy number.

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, 1613470 + ... + 1744570.

It is an arithmetic number, because the mean of its divisors is an integer number (5616409680).

Almost surely, 2220121201020 is an apocalyptic number.

220121201020 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 220121201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269587664640).

220121201020 is an abundant number, since it is smaller than the sum of its proper divisors (319054128260).

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

220121201020 is a wasteful number, since it uses less digits than its factorization.

220121201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131363 (or 131361 counting only the distinct ones).

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

Adding to 220121201020 its reverse (20102121022), we get a palindrome (240223322042).

The spelling of 220121201020 in words is "two hundred twenty billion, one hundred twenty-one million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 179 268 335 358 469 670 716 895 938 1253 1340 1790 1876 2345 2506 3580 4690 5012 6265 9380 11993 12530 23986 25060 47972 59965 83951 119930 131101 167902 239860 262202 335804 419755 524404 655505 839510 917707 1311010 1679020 1835414 2622020 3670828 4588535 8783767 9177070 17567534 18354140 23467079 35135068 43918835 46934158 61486369 87837670 93868316 117335395 122972738 164269553 175675340 234670790 245945476 307431845 328539106 469341580 614863690 657078212 821347765 1229727380 1572294293 1642695530 3144588586 3285391060 6289177172 7861471465 11006060051 15722942930 22012120102 31445885860 44024240204 55030300255 110060600510 220121201020