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1321412141231 = 72135633684601
BaseRepresentation
bin10011001110101010010…
…011010010000010101111
311200022210111001221001222
4103032222103102002233
5133122223002004411
62451014240053555
7164316552606200
oct23165223220257
94608714057058
101321412141231
1146a453782886
121941223042bb
13977bb211bb0
1447d572235a7
152458db334db
hex133aa4d20af

1321412141231 has 24 divisors (see below), whose sum is σ = 1658336191344. Its totient is φ = 1043655580800.

The previous prime is 1321412141191. The next prime is 1321412141251.

It is a happy number.

1321412141231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1321412141231 - 210 = 1321412140207 is a prime.

It is a super-2 number, since 2×13214121412312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1321412141231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321412141251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483670 + ... + 2200931.

It is an arithmetic number, because the mean of its divisors is an integer number (69097341306).

Almost surely, 21321412141231 is an apocalyptic number.

1321412141231 is a deficient number, since it is larger than the sum of its proper divisors (336924050113).

1321412141231 is a wasteful number, since it uses less digits than its factorization.

1321412141231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685191 (or 3685184 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The spelling of 1321412141231 in words is "one trillion, three hundred twenty-one billion, four hundred twelve million, one hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 7 13 49 91 563 637 3941 7319 27587 51233 358631 3684601 25792207 47899813 180545449 335298691 2074430363 2347090837 14521012541 26967594719 101647087787 188773163033 1321412141231