Search a number
-
+
1221021140 = 225613972521
BaseRepresentation
bin100100011000111…
…0100110111010100
310011002120022010012
41020301310313110
510000040134030
6321054415352
742154336253
oct11061646724
93132508105
101221021140
11577264289
122a0b01558
13165c74621
14b824279a
15722de095
hex48c74dd4

1221021140 has 48 divisors (see below), whose sum is σ = 2613780624. Its totient is φ = 479001600.

The previous prime is 1221021119. The next prime is 1221021173. The reversal of 1221021140 is 411201221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 464661136 + 756360004 = 21556^2 + 27502^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483080 + ... + 485600.

It is an arithmetic number, because the mean of its divisors is an integer number (54453763).

Almost surely, 21221021140 is an apocalyptic number.

1221021140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221021140 is an abundant number, since it is smaller than the sum of its proper divisors (1392759484).

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

1221021140 is a wasteful number, since it uses less digits than its factorization.

1221021140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1221021140 is about 34943.1129122750. The cubic root of 1221021140 is about 1068.8277668068.

Adding to 1221021140 its reverse (411201221), we get a palindrome (1632222361).

The spelling of 1221021140 in words is "one billion, two hundred twenty-one million, twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 397 610 794 1220 1588 1985 2521 3970 5042 7940 10084 12605 24217 25210 48434 50420 96868 121085 153781 242170 307562 484340 615124 768905 1000837 1537810 2001674 3075620 4003348 5004185 10008370 20016740 61051057 122102114 244204228 305255285 610510570 1221021140