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1221221010 = 2351719193653
BaseRepresentation
bin100100011001010…
…0101101010010010
310011002221110021210
41020302211222102
510000113033020
6321103000550
742156131052
oct11062455222
93132843253
101221221010
11577390469
122a0b99156
131660145a9
14b8295562
157232d3e0
hex48ca5a92

1221221010 has 128 divisors (see below), whose sum is σ = 3288625920. Its totient is φ = 288423936.

The previous prime is 1221221003. The next prime is 1221221033. The reversal of 1221221010 is 101221221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1869844 + ... + 1870496.

It is an arithmetic number, because the mean of its divisors is an integer number (25692390).

Almost surely, 21221221010 is an apocalyptic number.

1221221010 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 1221221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644312960).

1221221010 is an abundant number, since it is smaller than the sum of its proper divisors (2067404910).

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

1221221010 is a wasteful number, since it uses less digits than its factorization.

1221221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

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

The square root of 1221221010 is about 34945.9727293432. The cubic root of 1221221010 is about 1068.8860827370.

Adding to 1221221010 its reverse (101221221), we get a palindrome (1322442231).

The spelling of 1221221010 in words is "one billion, two hundred twenty-one million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 193 255 285 323 386 510 570 579 646 653 965 969 1158 1306 1615 1930 1938 1959 2895 3230 3265 3281 3667 3918 4845 5790 6530 6562 7334 9690 9795 9843 11001 11101 12407 16405 18335 19590 19686 22002 22202 24814 32810 33303 36670 37221 49215 55005 55505 62035 62339 66606 74442 98430 110010 111010 124070 124678 126029 166515 186105 187017 210919 252058 311695 333030 372210 374034 378087 421838 623390 630145 632757 756174 935085 1054595 1260290 1265514 1870170 1890435 2109190 2142493 2394551 3163785 3780870 4284986 4789102 6327570 6427479 7183653 10712465 11972755 12854958 14367306 21424930 23945510 32137395 35918265 40707367 64274790 71836530 81414734 122122101 203536835 244244202 407073670 610610505 1221221010