Search a number
-
+
220101201012 = 2237111012358463
BaseRepresentation
bin1100110011111100001…
…1011100110001110100
3210001010020020111102210
43030333003130301310
512101231401413022
6245040232333420
721621212224410
oct3147703346164
9701106214383
10220101201012
1185387432020
12367a7544270
13179a896b164
14a91d9cbd40
155ad3030a0c
hex333f0dcc74

220101201012 has 96 divisors (see below), whose sum is σ = 646634225664. Its totient is φ = 56603088000.

The previous prime is 220101201011. The next prime is 220101201013. The reversal of 220101201012 is 210102101022.

It is an interprime number because it is at equal distance from previous prime (220101201011) and next prime (220101201013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101201011) 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, 1085908 + ... + 1272555.

It is an arithmetic number, because the mean of its divisors is an integer number (6735773184).

Almost surely, 2220101201012 is an apocalyptic number.

220101201012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220101201012 is an abundant number, since it is smaller than the sum of its proper divisors (426533024652).

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

220101201012 is a wasteful number, since it uses less digits than its factorization.

220101201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358589 (or 2358587 counting only the distinct ones).

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

Adding to 220101201012 its reverse (210102101022), we get a palindrome (430203302034).

The spelling of 220101201012 in words is "two hundred twenty billion, one hundred one million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 606 707 924 1111 1212 1414 2121 2222 2828 3333 4242 4444 6666 7777 8484 13332 15554 23331 31108 46662 93324 2358463 4716926 7075389 9433852 14150778 16509241 25943093 28301556 33018482 49527723 51886186 66036964 77829279 99055446 103772372 155658558 181601651 198110892 238204763 311317116 363203302 476409526 544804953 714614289 726406604 952819052 1089609906 1429228578 1667433341 2179219812 2620252393 2858457156 3334866682 5002300023 5240504786 6669733364 7860757179 10004600046 10481009572 15721514358 18341766751 20009200092 31443028716 36683533502 55025300253 73367067004 110050600506 220101201012