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132213123201020 = 22541896115778691
BaseRepresentation
bin11110000011111101000100…
…001111100011011111111100
3122100010110011212202111201112
4132003331010033203133330
5114312134434014413040
61145105511552501152
736564040305424031
oct3603750417433774
9570113155674645
10132213123201020
11391442a8292394
12129b395754a7b8
1358a084abb5314
1424912139a9388
151044277b86365
hex783f443e37fc

132213123201020 has 24 divisors (see below), whose sum is σ = 277648239023568. Its totient is φ = 52885119699200.

The previous prime is 132213123200993. The next prime is 132213123201037. The reversal of 132213123201020 is 20102321312231.

It is a super-3 number, since 3×1322131232010203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489875 + ... + 16268565.

It is an arithmetic number, because the mean of its divisors is an integer number (11568676625982).

Almost surely, 2132213123201020 is an apocalyptic number.

132213123201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213123201020 is an abundant number, since it is smaller than the sum of its proper divisors (145435115822548).

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

132213123201020 is a wasteful number, since it uses less digits than its factorization.

132213123201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16197661 (or 16197659 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 132213123201020 its reverse (20102321312231), we get a palindrome (152315444513251).

The spelling of 132213123201020 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred twenty-three million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 418961 837922 1675844 2094805 4189610 8379220 15778691 31557382 63114764 78893455 157786910 315573820 6610656160051 13221312320102 26442624640204 33053280800255 66106561600510 132213123201020