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531043340135 = 57112292149101
BaseRepresentation
bin1111011101001001010…
…01100100111101100111
31212202201022201210012212
413232210221210331213
532200034043341020
61043542525434035
753236514625230
oct7564451447547
91782638653185
10531043340135
1119523a137400
1286b0540b91b
133b100715ca9
141b9ba05c087
15dc3114ecc5
hex7ba4a64f67

531043340135 has 72 divisors (see below), whose sum is σ = 829076303328. Its totient is φ = 319622688000.

The previous prime is 531043340131. The next prime is 531043340143.

531043340135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 531043340135 - 22 = 531043340131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531043340131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3487085 + ... + 3636185.

Almost surely, 2531043340135 is an apocalyptic number.

531043340135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

531043340135 is a deficient number, since it is larger than the sum of its proper divisors (298032963193).

531043340135 is a wasteful number, since it uses less digits than its factorization.

531043340135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149193 (or 149153 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 531043 and 340135, that added together give a palindrome (871178).

The spelling of 531043340135 in words is "five hundred thirty-one billion, forty-three million, three hundred forty thousand, one hundred thirty-five".

Divisors: 1 5 7 11 29 35 55 77 121 145 203 319 385 605 841 847 1015 1595 2233 3509 4205 4235 5887 9251 11165 17545 24563 29435 46255 64757 101761 122815 149101 323785 508805 712327 745505 1043707 1640111 3561635 4323929 5218535 8200555 11480777 18041221 21619645 30267503 47563219 57403885 90206105 125393941 126288547 151337515 237816095 332942533 523195409 626969705 631442735 877757587 1379333351 1664712665 2615977045 3662367863 4388787935 6896666755 9655333457 15172666861 18311839315 48276667285 75863334305 106208668027 531043340135