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1313025331541 = 71121550207003
BaseRepresentation
bin10011000110110110011…
…010001001000101010101
311122112010222210212000212
4103012312122021011111
5133003033441102131
62443110121415205
7163601664112040
oct23066632110525
94575128725025
101313025331541
1146693a629600
1219258163a505
1396a827c8201
144779d429c57
152424c6cca2b
hex131b6689155

1313025331541 has 12 divisors (see below), whose sum is σ = 1649420252256. Its totient is φ = 1023136621320.

The previous prime is 1313025331489. The next prime is 1313025331549. The reversal of 1313025331541 is 1451335203131.

It is not a de Polignac number, because 1313025331541 - 222 = 1313021137237 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1313025331498 and 1313025331507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313025331549) 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 11 ways as a sum of consecutive naturals, for example, 775102655 + ... + 775104348.

It is an arithmetic number, because the mean of its divisors is an integer number (137451687688).

Almost surely, 21313025331541 is an apocalyptic number.

1313025331541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313025331541 is a deficient number, since it is larger than the sum of its proper divisors (336394920715).

1313025331541 is a wasteful number, since it uses less digits than its factorization.

1313025331541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550207032 (or 1550207021 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 1313025331541 in words is "one trillion, three hundred thirteen billion, twenty-five million, three hundred thirty-one thousand, five hundred forty-one".

Divisors: 1 7 11 77 121 847 1550207003 10851449021 17052277033 119365939231 187575047363 1313025331541