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32200234001 = 1324114893121
BaseRepresentation
bin11101111111010010…
…001001010000010001
310002010002102101000022
4131333102021100101
51011421224442001
622443110433225
72216644321145
oct357722112021
9102102371008
1032200234001
1112724213441
1262a7962815
133062179100
1417b6747225
15c86d9011b
hex77f489411

32200234001 has 24 divisors (see below), whose sum is σ = 35753581080. Its totient is φ = 28969574400.

The previous prime is 32200233959. The next prime is 32200234051. The reversal of 32200234001 is 10043200223.

It can be written as a sum of positive squares in 12 ways, for example, as 32177184400 + 23049601 = 179380^2 + 4801^2 .

It is not a de Polignac number, because 32200234001 - 214 = 32200217617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32200234051) 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 23 ways as a sum of consecutive naturals, for example, 10315721 + ... + 10318841.

It is an arithmetic number, because the mean of its divisors is an integer number (1489732545).

Almost surely, 232200234001 is an apocalyptic number.

It is an amenable number.

32200234001 is a deficient number, since it is larger than the sum of its proper divisors (3553347079).

32200234001 is a wasteful number, since it uses less digits than its factorization.

32200234001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 32200234001 its reverse (10043200223), we get a palindrome (42243434224).

The spelling of 32200234001 in words is "thirty-two billion, two hundred million, two hundred thirty-four thousand, one".

Divisors: 1 13 41 169 533 1489 3121 6929 19357 40573 61049 127961 251641 527449 793637 1663493 4647169 10317281 21625409 60413197 190533929 785371561 2476941077 32200234001