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11303322120220 = 22513412234754929
BaseRepresentation
bin1010010001111100001001…
…1111111111000000011100
31111000120211221201220021011
42210133002133333000130
52440143200430321340
640012401405145004
72244431600520454
oct244370237770034
944016757656234
1011303322120220
113668791729309
1213267ab85b164
1363cb8b5ab470
142b11259b0d64
1514905a83a0ea
hexa47c27ff01c

11303322120220 has 96 divisors (see below), whose sum is σ = 26303816286720. Its totient is φ = 4053481021440.

The previous prime is 11303322120217. The next prime is 11303322120221. The reversal of 11303322120220 is 2202122330311.

It is a super-2 number, since 2×113033221202202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11303322120191 and 11303322120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303322120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285 + ... + 4754644.

It is an arithmetic number, because the mean of its divisors is an integer number (273998086320).

Almost surely, 211303322120220 is an apocalyptic number.

11303322120220 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 11303322120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151908143360).

11303322120220 is an abundant number, since it is smaller than the sum of its proper divisors (15000494166500).

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

11303322120220 is a wasteful number, since it uses less digits than its factorization.

11303322120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755215 (or 4755213 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11303322120220 its reverse (2202122330311), we get a palindrome (13505444450531).

The spelling of 11303322120220 in words is "eleven trillion, three hundred three billion, three hundred twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 223 260 410 446 533 820 892 1066 1115 2132 2230 2665 2899 4460 5330 5798 9143 10660 11596 14495 18286 28990 36572 45715 57980 91430 118859 182860 237718 475436 594295 1188590 2377180 4754929 9509858 19019716 23774645 47549290 61814077 95098580 123628154 194952089 247256308 309070385 389904178 618140770 779808356 974760445 1060349167 1236281540 1949520890 2120698334 2534377157 3899041780 4241396668 5068754314 5301745835 10137508628 10603491670 12671885785 13784539171 21206983340 25343771570 27569078342 43474315847 50687543140 55138156684 68922695855 86948631694 137845391710 173897263388 217371579235 275690783420 434743158470 565166106011 869486316940 1130332212022 2260664424044 2825830530055 5651661060110 11303322120220