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102032321 = 6110116561
BaseRepresentation
bin1100001010011…
…10001111000001
321002222210000212
412011032033001
5202110013241
614042523505
72346155216
oct605161701
9232883025
10102032321
115265a436
122a206595
13181a5871
14d79db0d
158e56beb
hex614e3c1

102032321 has 8 divisors (see below), whose sum is σ = 104738088. Its totient is φ = 99360000.

The previous prime is 102032309. The next prime is 102032383. The reversal of 102032321 is 123230201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 101103025 = 964^2 + 10055^2 .

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-102032321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102032296 and 102032305.

It is not an unprimeable number, because it can be changed into a prime (102037321) 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, 2120 + ... + 14441.

It is an arithmetic number, because the mean of its divisors is an integer number (13092261).

Almost surely, 2102032321 is an apocalyptic number.

It is an amenable number.

102032321 is a deficient number, since it is larger than the sum of its proper divisors (2705767).

102032321 is a wasteful number, since it uses less digits than its factorization.

102032321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16723.

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

The square root of 102032321 is about 10101.1049395598. The cubic root of 102032321 is about 467.2822187142.

Adding to 102032321 its reverse (123230201), we get a palindrome (225262522).

The spelling of 102032321 in words is "one hundred two million, thirty-two thousand, three hundred twenty-one".

Divisors: 1 61 101 6161 16561 1010221 1672661 102032321