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331235201 = 11212372213
BaseRepresentation
bin10011101111100…
…011111110000001
3212002021111021102
4103233203332001
51134244011301
652511304145
711131311203
oct2357437601
9762244242
10331235201
1115aa78a00
1292b1b055
135381607b
1431dc4773
151e12db6b
hex13be3f81

331235201 has 12 divisors (see below), whose sum is σ = 364543956. Its totient is φ = 300743520.

The previous prime is 331235197. The next prime is 331235231. The reversal of 331235201 is 102532133.

It can be written as a sum of positive squares in 2 ways, for example, as 302064400 + 29170801 = 17380^2 + 5401^2 .

It is not a de Polignac number, because 331235201 - 22 = 331235197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331235231) 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 11 ways as a sum of consecutive naturals, for example, 148571 + ... + 150783.

It is an arithmetic number, because the mean of its divisors is an integer number (30378663).

Almost surely, 2331235201 is an apocalyptic number.

It is an amenable number.

331235201 is a deficient number, since it is larger than the sum of its proper divisors (33308755).

331235201 is a wasteful number, since it uses less digits than its factorization.

331235201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 331235201 is about 18199.8681588631. The cubic root of 331235201 is about 691.9034476370.

Adding to 331235201 its reverse (102532133), we get a palindrome (433767334).

It can be divided in two parts, 331 and 235201, that added together give a palindrome (235532).

The spelling of 331235201 in words is "three hundred thirty-one million, two hundred thirty-five thousand, two hundred one".

Divisors: 1 11 121 1237 2213 13607 24343 149677 267773 2737481 30112291 331235201