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230020132320 = 25345111613497
BaseRepresentation
bin1101011000111001000…
…1001010110111100000
3210222201111110102020000
43112032101022313200
512232040123213240
6253400401420000
722422053602446
oct3261621126740
9728644412200
10230020132320
1189607405a10
12386b533a600
13188c9912994
14b1c108ab96
155eb3c28430
hex358e44ade0

230020132320 has 240 divisors, whose sum is σ = 885578058288. Its totient is φ = 55762421760.

The previous prime is 230020132313. The next prime is 230020132327. The reversal of 230020132320 is 23231020032.

It is a happy number.

230020132320 is a `hidden beast` number, since 2 + 300 + 20 + 1 + 323 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (230020132313) and next prime (230020132327).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2300201323202 (a number of 24 digits) contains 22 as substring.

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 = 230020132293 and 230020132302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230020132327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 664189 + ... + 949308.

Almost surely, 2230020132320 is an apocalyptic number.

230020132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230020132320 is an abundant number, since it is smaller than the sum of its proper divisors (655557925968).

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

230020132320 is a wasteful number, since it uses less digits than its factorization.

230020132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613535 (or 1613518 counting only the distinct ones).

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

Adding to 230020132320 its reverse (23231020032), we get a palindrome (253251152352).

The spelling of 230020132320 in words is "two hundred thirty billion, twenty million, one hundred thirty-two thousand, three hundred twenty".