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73130031 = 32131967491
BaseRepresentation
bin1000101101111…
…10000000101111
312002121101112200
410112332000233
5122210130111
611131232543
71545411042
oct426760057
9162541480
1073130031
1138309747
12205a8753
13121c6410
1499d8c59
156648256
hex45be02f

73130031 has 48 divisors (see below), whose sum is σ = 121779840. Its totient is φ = 41912640.

The previous prime is 73130027. The next prime is 73130051. The reversal of 73130031 is 13003137.

73130031 = T58 + T59 + ... + T759.

It is not a de Polignac number, because 73130031 - 22 = 73130027 is a prime.

It is a super-2 number, since 2×731300312 = 10696002868121922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73129986 and 73130013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73130051) 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, 148696 + ... + 149186.

It is an arithmetic number, because the mean of its divisors is an integer number (2537080).

Almost surely, 273130031 is an apocalyptic number.

73130031 is a deficient number, since it is larger than the sum of its proper divisors (48649809).

73130031 is a wasteful number, since it uses less digits than its factorization.

73130031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 73130031 is about 8551.6098484437. The cubic root of 73130031 is about 418.1819202340.

Adding to 73130031 its reverse (13003137), we get a palindrome (86133168).

The spelling of 73130031 in words is "seventy-three million, one hundred thirty thousand, thirty-one".

Divisors: 1 3 9 13 19 39 57 67 117 171 201 247 491 603 741 871 1273 1473 2223 2613 3819 4419 6383 7839 9329 11457 16549 19149 27987 32897 49647 57447 83961 98691 121277 148941 296073 363831 427661 625043 1091493 1282983 1875129 3848949 5625387 8125559 24376677 73130031