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34342402131 = 32194334491033
BaseRepresentation
bin11111111110111101…
…110111100001010011
310021122101021210020200
4133332331313201103
51030313123332011
623435432510243
72324015413242
oct377675674123
9107571253220
1034342402131
1113623433024
1267a524b383
133313c0c60b
14193b04c959
15d5ee86856
hex7fef77853

34342402131 has 48 divisors (see below), whose sum is σ = 52504452000. Its totient is φ = 21570748416.

The previous prime is 34342402121. The next prime is 34342402153. The reversal of 34342402131 is 13120424343.

It is not a de Polignac number, because 34342402131 - 26 = 34342402067 is a prime.

It is a super-2 number, since 2×343424021312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34342402095 and 34342402104.

It is not an unprimeable number, because it can be changed into a prime (34342402121) 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, 33244791 + ... + 33245823.

It is an arithmetic number, because the mean of its divisors is an integer number (1093842750).

Almost surely, 234342402131 is an apocalyptic number.

34342402131 is a deficient number, since it is larger than the sum of its proper divisors (18162049869).

34342402131 is a wasteful number, since it uses less digits than its factorization.

34342402131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34342402131 its reverse (13120424343), we get a palindrome (47462826474).

The spelling of 34342402131 in words is "thirty-four billion, three hundred forty-two million, four hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 19 57 171 433 449 1033 1299 1347 3099 3897 4041 8227 8531 9297 19627 24681 25593 58881 74043 76779 176643 194417 447289 463817 583251 1341867 1391451 1749753 3693923 4025601 4174353 8498491 8812523 11081769 25495473 26437569 33245307 76486419 79312707 200832761 602498283 1807494849 3815822459 11447467377 34342402131