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34020131323431 = 31121923214460801
BaseRepresentation
bin1111011110000111011011…
…10101111011111000100111
311110110021220110000122112210
413233003231311323320213
513424341212104322211
6200204344345214503
710110605366001351
oct757035565737047
9143407813018483
1034020131323431
11a926947257a00
1239953b5191433
1315ca113ba2586
148588241d80d1
153dee1d2e09a6
hex1ef0edd7be27

34020131323431 has 48 divisors (see below), whose sum is σ = 54764710398720. Its totient is φ = 18683824896000.

The previous prime is 34020131323397. The next prime is 34020131323439. The reversal of 34020131323431 is 13432313102043.

It is not a de Polignac number, because 34020131323431 - 213 = 34020131315239 is a prime.

It is a super-2 number, since 2×340201313234312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020131323439) 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, 107071770 + ... + 107389031.

It is an arithmetic number, because the mean of its divisors is an integer number (1140931466640).

Almost surely, 234020131323431 is an apocalyptic number.

34020131323431 is a deficient number, since it is larger than the sum of its proper divisors (20744579075289).

34020131323431 is a wasteful number, since it uses less digits than its factorization.

34020131323431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214460868 (or 214460857 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 34020131323431 its reverse (13432313102043), we get a palindrome (47452444425474).

The spelling of 34020131323431 in words is "thirty-four trillion, twenty billion, one hundred thirty-one million, three hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 11 19 23 33 57 69 121 209 253 363 437 627 759 1311 2299 2783 4807 6897 8349 14421 52877 158631 214460801 643382403 2359068811 4074755219 4932598423 7077206433 12224265657 14797795269 25949756921 44822307409 54258582653 77849270763 93719370037 134466922227 162775747959 281158110111 493045381499 596844409183 1030913070407 1479136144497 1790533227549 3092739211221 11340043774477 34020131323431