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232001001320 = 23511754969847
BaseRepresentation
bin1101100000010001010…
…1100101011101101000
3211011211112210222122112
43120010111211131220
512300114224020240
6254325122341452
722522125654644
oct3300425453550
9734745728575
10232001001320
118a433576130
1238b687ba888
1318b5411c30a
14b32c1a5c24
15607caac665
hex3604565768

232001001320 has 64 divisors (see below), whose sum is σ = 569540592000. Its totient is φ = 84351617280.

The previous prime is 232001001233. The next prime is 232001001329. The reversal of 232001001320 is 23100100232.

It is a happy number.

It is a super-2 number, since 2×2320010013202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232001001295 and 232001001304.

It is not an unprimeable number, because it can be changed into a prime (232001001329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3286637 + ... + 3356483.

It is an arithmetic number, because the mean of its divisors is an integer number (8899071750).

Almost surely, 2232001001320 is an apocalyptic number.

232001001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232001001320 is an abundant number, since it is smaller than the sum of its proper divisors (337539590680).

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

232001001320 is a wasteful number, since it uses less digits than its factorization.

232001001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77418 (or 77414 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 232001001320 its reverse (23100100232), we get a palindrome (255101101552).

The spelling of 232001001320 in words is "two hundred thirty-two billion, one million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 7549 15098 30196 37745 60392 69847 75490 83039 139694 150980 166078 279388 301960 332156 349235 415195 558776 664312 698470 768317 830390 1396940 1536634 1660780 2793880 3073268 3321560 3841585 6146536 7683170 15366340 30732680 527275003 1054550006 2109100012 2636375015 4218200024 5272750030 5800025033 10545500060 11600050066 21091000120 23200100132 29000125165 46400200264 58000250330 116000500660 232001001320