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20132023032320 = 29517462592441
BaseRepresentation
bin1001001001111010110100…
…00101001101101000000000
32122021121021022002102220112
410210331122011031220000
510114320340344013240
6110452305041530452
74145330204206433
oct444753205155000
978247238072815
1020132023032320
116461a41185301
122311879943a28
13b305983382c4
144d857629981a
1524da3060b665
hex124f5a14da00

20132023032320 has 80 divisors (see below), whose sum is σ = 51109063361928. Its totient is φ = 7579114536960.

The previous prime is 20132023032241. The next prime is 20132023032323. The reversal of 20132023032320 is 2323032023102.

It can be written as a sum of positive squares in 4 ways, for example, as 20057069734144 + 74953298176 = 4478512^2 + 273776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20132023032323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231252701 + ... + 231339740.

Almost surely, 220132023032320 is an apocalyptic number.

20132023032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132023032320 is an abundant number, since it is smaller than the sum of its proper divisors (30977040329608).

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

20132023032320 is an equidigital number, since it uses as much as digits as its factorization.

20132023032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462592481 (or 462592465 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 20132023032320 its reverse (2323032023102), we get a palindrome (22455055055422).

The spelling of 20132023032320 in words is "twenty trillion, one hundred thirty-two billion, twenty-three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 4352 5440 8704 10880 21760 43520 462592441 925184882 1850369764 2312962205 3700739528 4625924410 7401479056 7864071497 9251848820 14802958112 15728142994 18503697640 29605916224 31456285988 37007395280 39320357485 59211832448 62912571976 74014790560 78640714970 118423664896 125825143952 148029581120 157281429940 236847329792 251650287904 296059162240 314562859880 503300575808 592118324480 629125719760 1006601151616 1184236648960 1258251439520 2013202303232 2516502879040 4026404606464 5033005758080 10066011516160 20132023032320