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1321332034401 = 3223139120138237
BaseRepresentation
bin10011001110100101100…
…001101100101101100001
311200022120220100002011100
4103032211201230231201
5133122042000100101
62451002255105013
7164314560656451
oct23164541545541
94608526302140
101321332034401
1146a412539395
121940bb512169
13977a7744cc2
1447d4a72dd61
1524586aace86
hex133a586cb61

1321332034401 has 48 divisors (see below), whose sum is σ = 2007623479680. Its totient is φ = 835808371200.

The previous prime is 1321332034397. The next prime is 1321332034441. The reversal of 1321332034401 is 1044302331231.

It is a happy number.

1321332034401 is a `hidden beast` number, since 1 + 3 + 2 + 13 + 3 + 203 + 440 + 1 = 666.

It is not a de Polignac number, because 1321332034401 - 22 = 1321332034397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1321332034441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34537255 + ... + 34575491.

It is an arithmetic number, because the mean of its divisors is an integer number (41825489160).

Almost surely, 21321332034401 is an apocalyptic number.

It is an amenable number.

1321332034401 is a deficient number, since it is larger than the sum of its proper divisors (686291445279).

1321332034401 is a wasteful number, since it uses less digits than its factorization.

1321332034401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39606 (or 39603 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1321332034401 its reverse (1044302331231), we get a palindrome (2365634365632).

The spelling of 1321332034401 in words is "one trillion, three hundred twenty-one billion, three hundred thirty-two million, thirty-four thousand, four hundred one".

Divisors: 1 3 9 23 69 139 207 417 1201 1251 3197 3603 9591 10809 27623 28773 38237 82869 114711 166939 248607 344133 500817 879451 1502451 2638353 3839597 5314943 7915059 11518791 15944829 34556373 45922637 47834487 122243689 137767911 366731067 413303733 1056220651 1100193201 3168661953 6383246543 9505985859 19149739629 57449218887 146814670489 440444011467 1321332034401