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202101031220 = 2251119208723167
BaseRepresentation
bin1011110000111000101…
…0010000000100110100
3201022122202202010111112
42330032022100010310
511302400330444340
6232502142254152
720413152264314
oct2741612200464
9638582663445
10202101031220
117878a844040
1233203287358
131609a6ab50a
149ad3159444
1553ccb42065
hex2f0e290134

202101031220 has 96 divisors (see below), whose sum is σ = 487617822720. Its totient is φ = 69586957440.

The previous prime is 202101031217. The next prime is 202101031229. The reversal of 202101031220 is 22130101202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202101031195 and 202101031204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101031229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8712077 + ... + 8735243.

It is an arithmetic number, because the mean of its divisors is an integer number (5079352320).

Almost surely, 2202101031220 is an apocalyptic number.

202101031220 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 202101031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243808911360).

202101031220 is an abundant number, since it is smaller than the sum of its proper divisors (285516791500).

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

202101031220 is a wasteful number, since it uses less digits than its factorization.

202101031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25293 (or 25291 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 202101031220 its reverse (22130101202), we get a palindrome (224231132422).

The spelling of 202101031220 in words is "two hundred two billion, one hundred one million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2087 2090 4174 4180 8348 10435 20870 22957 23167 39653 41740 45914 46334 79306 91828 92668 114785 115835 158612 198265 229570 231670 254837 396530 436183 440173 459140 463340 509674 793060 872366 880346 1019348 1274185 1744732 1760692 2180915 2200865 2548370 4361830 4401730 4841903 5096740 8723660 8803460 9683806 19367612 24209515 48349529 48419030 96699058 96838060 193398116 241747645 483495290 531844819 918641051 966990580 1063689638 1837282102 2127379276 2659224095 3674564204 4593205255 5318448190 9186410510 10105051561 10636896380 18372821020 20210103122 40420206244 50525257805 101050515610 202101031220