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1321410104201 = 115334745714293
BaseRepresentation
bin10011001110101010001…
…011100000101110001001
311200022210100020102210102
4103032222023200232021
5133122221441313301
62451014124255145
7164316526363265
oct23165213405611
94608710212712
101321410104201
1146a452611390
121941216a14b5
13977ba97a955
1447d56c530a5
152458d87eb6b
hex133aa2e0b89

1321410104201 has 32 divisors (see below), whose sum is σ = 1476296212608. Its totient is φ = 1172565987840.

The previous prime is 1321410104191. The next prime is 1321410104207. The reversal of 1321410104201 is 1024010141231.

It is a cyclic number.

It is not a de Polignac number, because 1321410104201 - 26 = 1321410104137 is a prime.

It is a super-2 number, since 2×13214101042012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1321410104207) 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, 92444411 + ... + 92458703.

It is an arithmetic number, because the mean of its divisors is an integer number (46134256644).

Almost surely, 21321410104201 is an apocalyptic number.

1321410104201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1321410104201 is a deficient number, since it is larger than the sum of its proper divisors (154886108407).

1321410104201 is a wasteful number, since it uses less digits than its factorization.

1321410104201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15161.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1321410104201 its reverse (1024010141231), we get a palindrome (2345420245432).

The spelling of 1321410104201 in words is "one trillion, three hundred twenty-one billion, four hundred ten million, one hundred four thousand, two hundred one".

Divisors: 1 11 53 347 457 583 3817 5027 14293 18391 24221 157223 158579 202301 266431 757529 1744369 4959671 6531901 8332819 8404687 54556381 71850911 92451557 262862563 346190753 2266569647 2891488193 3808098283 24932266117 120128191291 1321410104201