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11021001221020 = 2257313527719989
BaseRepresentation
bin1010000001100000011011…
…0111001110001110011100
31110000121010112011020121011
42200120012313032032130
52421032002303033040
635234551132345004
72215145453465050
oct240300667161634
943017115136534
1011021001221020
113569a8696611a
12129bb3b015164
1361c37837585b
142a15c2805c60
15141a352983ea
hexa0606dce39c

11021001221020 has 96 divisors (see below), whose sum is σ = 27311420989440. Its totient is φ = 3655695870720.

The previous prime is 11021001220987. The next prime is 11021001221029. The reversal of 11021001221020 is 2012210012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021001221029) 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, 14947186 + ... + 15667174.

It is an arithmetic number, because the mean of its divisors is an integer number (284493968640).

Almost surely, 211021001221020 is an apocalyptic number.

11021001221020 is a gapful number since it is divisible by the number (10) 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 11021001221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655710494720).

11021001221020 is an abundant number, since it is smaller than the sum of its proper divisors (16290419768420).

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

11021001221020 is a wasteful number, since it uses less digits than its factorization.

11021001221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723563 (or 723561 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11021001221020 its reverse (2012210012011), we get a palindrome (13033211233031).

The spelling of 11021001221020 in words is "eleven trillion, twenty-one billion, one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3527 4340 7054 14108 17635 24689 35270 49378 70540 98756 109337 123445 218674 246890 437348 493780 546685 719989 765359 1093370 1439978 1530718 2186740 2879956 3061436 3599945 3826795 5039923 7199890 7653590 10079846 14399780 15307180 20159692 22319659 25199615 44639318 50399230 89278636 100798460 111598295 156237613 223196590 312475226 446393180 624950452 781188065 1562376130 2539401203 3124752260 5078802406 10157604812 12697006015 17775808421 25394012030 35551616842 50788024060 71103233684 78721437293 88879042105 157442874586 177758084210 314885749172 355516168420 393607186465 551050061051 787214372930 1102100122102 1574428745860 2204200244204 2755250305255 5510500610510 11021001221020