Search a number
-
+
1221201030 = 235721974217
BaseRepresentation
bin100100011001010…
…0000110010000110
310011002220102212210
41020302200302012
510000111413110
6321102324250
742156015600
oct11062406206
93132812783
101221201030
11577377455
122a0b89686
1316600847a
14b828c170
1572327520
hex48ca0c86

1221201030 has 96 divisors (see below), whose sum is σ = 3427513056. Its totient is φ = 277648896.

The previous prime is 1221201019. The next prime is 1221201083. The reversal of 1221201030 is 301021221.

It is a junction number, because it is equal to n+sod(n) for n = 1221200997 and 1221201015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287482 + ... + 291698.

It is an arithmetic number, because the mean of its divisors is an integer number (35703261).

Almost surely, 21221201030 is an apocalyptic number.

1221201030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221201030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713756528).

1221201030 is an abundant number, since it is smaller than the sum of its proper divisors (2206312026).

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

1221201030 is a wasteful number, since it uses less digits than its factorization.

1221201030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1221201030 is about 34945.6868583234. The cubic root of 1221201030 is about 1068.8802534726.

Adding to 1221201030 its reverse (301021221), we get a palindrome (1522222251).

The spelling of 1221201030 in words is "one billion, two hundred twenty-one million, two hundred one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 197 210 245 294 394 490 591 735 985 1182 1379 1470 1970 2758 2955 4137 4217 5910 6895 8274 8434 9653 12651 13790 19306 20685 21085 25302 28959 29519 41370 42170 48265 57918 59038 63255 88557 96530 126510 144795 147595 177114 206633 289590 295190 413266 442785 619899 830749 885570 1033165 1239798 1661498 2066330 2492247 3099495 4153745 4984494 5815243 6198990 8307490 11630486 12461235 17445729 24922470 29076215 34891458 40706701 58152430 81413402 87228645 122120103 174457290 203533505 244240206 407067010 610600515 1221201030