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1413006021 = 327211106297
BaseRepresentation
bin101010000111000…
…1100001011000101
310122110211010212100
41110032030023011
510343212143041
6352113342313
750005232040
oct12416141305
93573733770
101413006021
11665672379
12335267999
1319698364b
14d5939c57
15840b36b6
hex5438c2c5

1413006021 has 24 divisors (see below), whose sum is σ = 2343658304. Its totient is φ = 803597760.

The previous prime is 1413006019. The next prime is 1413006043. The reversal of 1413006021 is 1206003141.

It is a happy number.

It is not a de Polignac number, because 1413006021 - 21 = 1413006019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1413005985 and 1413006003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413006011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39856 + ... + 66441.

Almost surely, 21413006021 is an apocalyptic number.

It is an amenable number.

1413006021 is a deficient number, since it is larger than the sum of its proper divisors (930652283).

1413006021 is a wasteful number, since it uses less digits than its factorization.

1413006021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106521 (or 106518 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1413006021 is about 37589.9723463585. The cubic root of 1413006021 is about 1122.1424819294.

Adding to 1413006021 its reverse (1206003141), we get a palindrome (2619009162).

It can be divided in two parts, 14130060 and 21, that added together give a square (14130081 = 37592).

The spelling of 1413006021 in words is "one billion, four hundred thirteen million, six thousand, twenty-one".

Divisors: 1 3 7 9 21 63 211 633 1477 1899 4431 13293 106297 318891 744079 956673 2232237 6696711 22428667 67286001 157000669 201858003 471002007 1413006021