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34132221325 = 5217476732539
BaseRepresentation
bin11111110010011100…
…000101110110001101
310021002201210111101101
4133302130011312031
51024400322040300
623402523543101
72315554044226
oct376234056615
9107081714341
1034132221325
1113525827084
12674698aa91
1332ac4cc387
14191b17a24d
15d4b7bab6a
hex7f2705d8d

34132221325 has 48 divisors (see below), whose sum is σ = 45853136640. Its totient is φ = 25105489920.

The previous prime is 34132221301. The next prime is 34132221349. The reversal of 34132221325 is 52312223143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34132221301) and next prime (34132221349).

It is not a de Polignac number, because 34132221325 - 25 = 34132221293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34132221293 and 34132221302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13441906 + ... + 13444444.

It is an arithmetic number, because the mean of its divisors is an integer number (955273680).

Almost surely, 234132221325 is an apocalyptic number.

It is an amenable number.

34132221325 is a deficient number, since it is larger than the sum of its proper divisors (11720915315).

34132221325 is a wasteful number, since it uses less digits than its factorization.

34132221325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3281 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

Adding to 34132221325 its reverse (52312223143), we get a palindrome (86444444468).

The spelling of 34132221325 in words is "thirty-four billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred twenty-five".

Divisors: 1 5 17 25 47 85 235 425 673 799 1175 2539 3365 3995 11441 12695 16825 19975 31631 43163 57205 63475 119333 158155 215815 286025 537727 596665 790775 1079075 1708747 2028661 2688635 2983325 8543735 10143305 13443175 29048699 42718675 50716525 80311109 145243495 401555545 726217475 1365288853 2007777725 6826444265 34132221325