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10001332321 = 16377177951
BaseRepresentation
bin10010101000010000…
…00011100001100001
3221211000021022201121
421110020003201201
5130440320113241
64332231132241
7502561631161
oct112410034141
927730238647
1010001332321
114272545002
121b31514081
13c35065a26
146ac3cc5a1
153d8072ad1
hex254203861

10001332321 has 8 divisors (see below), whose sum is σ = 10065259904. Its totient is φ = 9937436400.

The previous prime is 10001332303. The next prime is 10001332331. The reversal of 10001332321 is 12323310001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10001332321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001332295 and 10001332304.

It is not an unprimeable number, because it can be changed into a prime (10001332331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1253896 + ... + 1261846.

It is an arithmetic number, because the mean of its divisors is an integer number (1258157488).

Almost surely, 210001332321 is an apocalyptic number.

It is an amenable number.

10001332321 is a deficient number, since it is larger than the sum of its proper divisors (63927583).

10001332321 is an equidigital number, since it uses as much as digits as its factorization.

10001332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15831.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10001332321 its reverse (12323310001), we get a palindrome (22324642322).

The spelling of 10001332321 in words is "ten billion, one million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 163 7717 7951 1257871 1296013 61357867 10001332321