Search a number
-
+
201231002122220 = 225729352914044853
BaseRepresentation
bin101101110000010010111110…
…011001100011011111101100
3222101111111101112022011011202
4231300102332121203133230
5202333432043020402340
61551552125101105032
760246313552566530
oct5560227631433754
9871444345264152
10201231002122220
1159133652686754
121a69babb558178
13883900473cab5
1437998bd6d7bc0
15183e730853c15
hexb704be6637ec

201231002122220 has 96 divisors (see below), whose sum is σ = 499749612969600. Its totient is φ = 66595519678464.

The previous prime is 201231002122217. The next prime is 201231002122237. The reversal of 201231002122220 is 22221200132102.

It is a super-2 number, since 2×2012310021222202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201231002122192 and 201231002122201.

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, 7305314 + ... + 21350166.

It is an arithmetic number, because the mean of its divisors is an integer number (5205725135100).

Almost surely, 2201231002122220 is an apocalyptic number.

201231002122220 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 201231002122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249874806484800).

201231002122220 is an abundant number, since it is smaller than the sum of its proper divisors (298518610847380).

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

201231002122220 is a wasteful number, since it uses less digits than its factorization.

201231002122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048427 (or 14048425 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201231002122220 its reverse (22221200132102), we get a palindrome (223452202254322).

The spelling of 201231002122220 in words is "two hundred one trillion, two hundred thirty-one billion, two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 3529 4060 7058 14116 17645 24703 35290 49406 70580 98812 102341 123515 204682 247030 409364 494060 511705 716387 1023410 1432774 2046820 2865548 3581935 7163870 14044853 14327740 28089706 56179412 70224265 98313971 140448530 196627942 280897060 393255884 407300737 491569855 814601474 983139710 1629202948 1966279420 2036503685 2851105159 4073007370 5702210318 8146014740 11404420636 14255525795 28511051590 49564286237 57022103180 99128572474 198257144948 247821431185 346950003659 495642862370 693900007318 991285724740 1387800014636 1437364300873 1734750018295 2874728601746 3469500036590 5749457203492 6939000073180 7186821504365 10061550106111 14373643008730 20123100212222 28747286017460 40246200424444 50307750530555 100615501061110 201231002122220