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13213000242441 = 3215759113158189
BaseRepresentation
bin1100000001000110010000…
…1011111001010100001001
31201210011001201000221210200
43000101210023321110021
53212440211030224231
644033545111002413
72532415314653016
oct300214413712411
951704051027720
1013213000242441
1142346691a150a
121594927069409
1374ac9943272c
143397268d670d
1517da790a9be6
hexc04642f9509

13213000242441 has 24 divisors (see below), whose sum is σ = 19207454477640. Its totient is φ = 8752357276416.

The previous prime is 13213000242437. The next prime is 13213000242469. The reversal of 13213000242441 is 14424200031231.

13213000242441 is a `hidden beast` number, since 1 + 3 + 213 + 0 + 0 + 0 + 2 + 4 + 2 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4586326348041 + 8626673894400 = 2141571^2 + 2937120^2 .

It is not a de Polignac number, because 13213000242441 - 22 = 13213000242437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13213000242041) 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 23 ways as a sum of consecutive naturals, for example, 83447575 + ... + 83605763.

It is an arithmetic number, because the mean of its divisors is an integer number (800310603235).

Almost surely, 213213000242441 is an apocalyptic number.

It is an amenable number.

13213000242441 is a deficient number, since it is larger than the sum of its proper divisors (5994454235199).

13213000242441 is a wasteful number, since it uses less digits than its factorization.

13213000242441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217465 (or 217462 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13213000242441 its reverse (14424200031231), we get a palindrome (27637200273672).

The spelling of 13213000242441 in words is "thirteen trillion, two hundred thirteen billion, two hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 157 471 1413 59113 158189 177339 474567 532017 1423701 9280741 24835673 27842223 74507019 83526669 223521057 9351026357 28053079071 84159237213 1468111138049 4404333414147 13213000242441