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331010001013213 = 1761319199615249
BaseRepresentation
bin100101101000011010100010…
…1100001110000100111011101
31121102000020200002201212211001
41023100311011201300213131
5321341231440224410323
63131555521210230301
7126502453254140254
oct11320650541604735
91542006602655731
10331010001013213
119651960a182745
123115bb57725391
1311291155a932a2
145ba4d8057379b
1528404e2dac3ad
hex12d0d458709dd

331010001013213 has 8 divisors (see below), whose sum is σ = 356226770619000. Its totient is φ = 306431630638080.

The previous prime is 331010001013171. The next prime is 331010001013261. The reversal of 331010001013213 is 312310100010133.

It can be written as a sum of positive squares in 4 ways, for example, as 4208824577764 + 326801176435449 = 2051542^2 + 18077643^2 .

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-331010001013213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331010001013283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159599806588 + ... + 159599808661.

It is an arithmetic number, because the mean of its divisors is an integer number (44528346327375).

Almost surely, 2331010001013213 is an apocalyptic number.

It is an amenable number.

331010001013213 is a deficient number, since it is larger than the sum of its proper divisors (25216769605787).

331010001013213 is a wasteful number, since it uses less digits than its factorization.

331010001013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319199615327.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 331010001013213 its reverse (312310100010133), we get a palindrome (643320101023346).

The spelling of 331010001013213 in words is "three hundred thirty-one trillion, ten billion, one million, thirteen thousand, two hundred thirteen".

Divisors: 1 17 61 1037 319199615249 5426393459233 19471176530189 331010001013213