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331002221 = 11317313297
BaseRepresentation
bin10011101110101…
…011000101101101
3212001211122200112
4103232223011231
51134214032341
652502305405
711126321024
oct2356530555
9761748615
10331002221
1115a929960
1292a28265
1353764004
1431d638bb
151e0d4aeb
hex13bab16d

331002221 has 16 divisors (see below), whose sum is σ = 377875968. Its totient is φ = 287193600.

The previous prime is 331002209. The next prime is 331002233. The reversal of 331002221 is 122200133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (331002209) and next prime (331002233).

It is a cyclic number.

It is not a de Polignac number, because 331002221 - 210 = 331001197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331002196 and 331002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331002251) 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, 18245 + ... + 31541.

It is an arithmetic number, because the mean of its divisors is an integer number (23617248).

Almost surely, 2331002221 is an apocalyptic number.

331002221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

331002221 is a deficient number, since it is larger than the sum of its proper divisors (46873747).

331002221 is a wasteful number, since it uses less digits than its factorization.

331002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13412.

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

The square root of 331002221 is about 18193.4664371581. The cubic root of 331002221 is about 691.7411888415.

Adding to 331002221 its reverse (122200133), we get a palindrome (453202354).

The spelling of 331002221 in words is "three hundred thirty-one million, two thousand, two hundred twenty-one".

Divisors: 1 11 31 73 341 803 2263 13297 24893 146267 412207 970681 4534277 10677491 30091111 331002221