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221113201020 = 223537911109331
BaseRepresentation
bin1100110111101101011…
…1111011000101111100
3210010201202111102110120
43031323113323011330
512110314434413040
6245324503134540
721655251124635
oct3157327730574
9703652442416
10221113201020
1185856701668
1236a2a444450
1317b0a51a32a
14a9b818088c
155b41cd27d0
hex337b5fb17c

221113201020 has 96 divisors (see below), whose sum is σ = 636553645056. Its totient is φ = 57306412800.

The previous prime is 221113201009. The next prime is 221113201033. The reversal of 221113201020 is 20102311122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 1967755 + ... + 2077085.

It is an arithmetic number, because the mean of its divisors is an integer number (6630767136).

Almost surely, 2221113201020 is an apocalyptic number.

221113201020 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 221113201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318276822528).

221113201020 is an abundant number, since it is smaller than the sum of its proper divisors (415440444036).

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

221113201020 is a wasteful number, since it uses less digits than its factorization.

221113201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110291 (or 110289 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221113201020 its reverse (20102311122), we get a palindrome (241215512142).

The spelling of 221113201020 in words is "two hundred twenty-one billion, one hundred thirteen million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 911 1110 1822 2220 2733 3644 4555 5466 9110 10932 13665 18220 27330 33707 54660 67414 101121 109331 134828 168535 202242 218662 327993 337070 404484 437324 505605 546655 655986 674140 1011210 1093310 1311972 1639965 2022420 2186620 3279930 4045247 6559860 8090494 12135741 16180988 20226235 24271482 40452470 48542964 60678705 80904940 99600541 121357410 199201082 242714820 298801623 398402164 498002705 597603246 996005410 1195206492 1494008115 1992010820 2988016230 3685220017 5976032460 7370440034 11055660051 14740880068 18426100085 22111320102 36852200170 44222640204 55278300255 73704400340 110556600510 221113201020