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13221319671 = 3271371937937
BaseRepresentation
bin11000101000000110…
…10101001111110111
31021010102020121222100
430110003111033313
5204034124212141
610023534433143
7645431235330
oct142403251767
937112217870
1013221319671
1156750aa17a
12268b9627b3
1313291b1ca1
148d5cdb287
15525abd0b6
hex3140d53f7

13221319671 has 48 divisors (see below), whose sum is σ = 22101678144. Its totient is φ = 7460093952.

The previous prime is 13221319669. The next prime is 13221319687. The reversal of 13221319671 is 17691312231.

It is not a de Polignac number, because 13221319671 - 21 = 13221319669 is a prime.

It is a super-3 number, since 3×132213196713 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221319571) 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, 1661815 + ... + 1669751.

It is an arithmetic number, because the mean of its divisors is an integer number (460451628).

Almost surely, 213221319671 is an apocalyptic number.

13221319671 is a deficient number, since it is larger than the sum of its proper divisors (8880358473).

13221319671 is a wasteful number, since it uses less digits than its factorization.

13221319671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8277 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The spelling of 13221319671 in words is "thirteen billion, two hundred twenty-one million, three hundred nineteen thousand, six hundred seventy-one".

Divisors: 1 3 7 9 21 63 137 193 411 579 959 1233 1351 1737 2877 4053 7937 8631 12159 23811 26441 55559 71433 79323 166677 185087 237969 500031 555261 1087369 1531841 1665783 3262107 4595523 7611583 9786321 10722887 13786569 22834749 32168661 68504247 96505983 209862217 629586651 1469035519 1888759953 4407106557 13221319671