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133202032020 = 223254331709033
BaseRepresentation
bin111110000001101110…
…1011011010110010100
3110201211002010022210100
41330003131123112110
54140244210011040
6141105301454100
712423604406451
oct1740335332624
9421732108710
10133202032020
1151544090192
1221995111330
13c73a3a5235
146638862828
1536e9013b30
hex1f0375b594

133202032020 has 72 divisors (see below), whose sum is σ = 404979532776. Its totient is φ = 35438487552.

The previous prime is 133202032001. The next prime is 133202032021. The reversal of 133202032020 is 20230202331.

It is a happy number.

133202032020 is a `hidden beast` number, since 1 + 3 + 320 + 2 + 0 + 320 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27435284496 + 105766747524 = 165636^2 + 325218^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133202031984 and 133202032002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133202032021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776577 + ... + 932456.

It is an arithmetic number, because the mean of its divisors is an integer number (5624715733).

Almost surely, 2133202032020 is an apocalyptic number.

133202032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133202032020 is an abundant number, since it is smaller than the sum of its proper divisors (271777500756).

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

133202032020 is a wasteful number, since it uses less digits than its factorization.

133202032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709481 (or 1709476 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 133202032020 its reverse (20230202331), we get a palindrome (153432234351).

The spelling of 133202032020 in words is "one hundred thirty-three billion, two hundred two million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 433 866 1299 1732 2165 2598 3897 4330 5196 6495 7794 8660 12990 15588 19485 25980 38970 77940 1709033 3418066 5127099 6836132 8545165 10254198 15381297 17090330 20508396 25635495 30762594 34180660 51270990 61525188 76906485 102541980 153812970 307625940 740011289 1480022578 2220033867 2960045156 3700056445 4440067734 6660101601 7400112890 8880135468 11100169335 13320203202 14800225780 22200338670 26640406404 33300508005 44400677340 66601016010 133202032020