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13210440231441 = 367715471692293
BaseRepresentation
bin1100000000111100101110…
…0110001110101000010001
31201202220110021220220220110
43000033023212032220101
53212414440144401231
644032443101031533
72532265011143055
oct300171346165021
951686407826813
1013210440231441
11423357512a342
1215943318555a9
1374a97bc5131b
14339562903c65
1517d979478046
hexc03cb98ea11

13210440231441 has 32 divisors (see below), whose sum is σ = 18161753361408. Its totient is φ = 8537680831680.

The previous prime is 13210440231437. The next prime is 13210440231491. The reversal of 13210440231441 is 14413204401231.

It is a happy number.

It is not a de Polignac number, because 13210440231441 - 22 = 13210440231437 is a prime.

It is a super-2 number, since 2×132104402314412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13210440231399 and 13210440231408.

It is not an unprimeable number, because it can be changed into a prime (13210440231431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6960091 + ... + 8652383.

It is an arithmetic number, because the mean of its divisors is an integer number (567554792544).

Almost surely, 213210440231441 is an apocalyptic number.

It is an amenable number.

13210440231441 is a deficient number, since it is larger than the sum of its proper divisors (4951313129967).

13210440231441 is a wasteful number, since it uses less digits than its factorization.

13210440231441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692981.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13210440231441 its reverse (14413204401231), we get a palindrome (27623644632672).

The spelling of 13210440231441 in words is "thirteen trillion, two hundred ten billion, four hundred forty million, two hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 67 71 201 213 547 1641 4757 14271 36649 38837 109947 116511 1692293 2602079 5076879 7806237 113383631 120152803 340150893 360458409 925684271 2777052813 8050237801 24150713403 62020846157 65723583241 186062538471 197170749723 4403480077147 13210440231441