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31234131243 = 3275361715161
BaseRepresentation
bin11101000101101100…
…110000010100101011
32222121202112021011200
4131011230300110223
51002431414144433
622203155455243
72154003510060
oct350554602453
988552467150
1031234131243
1112278942107
1260782b7523
132c39c79a83
141724300c67
15c2c157613
hex745b3052b

31234131243 has 48 divisors (see below), whose sum is σ = 52622571456. Its totient is φ = 17481784320.

The previous prime is 31234131223. The next prime is 31234131281. The reversal of 31234131243 is 34213143213.

It is a happy number.

31234131243 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 413 + 1 + 243 = 666.

It is not a de Polignac number, because 31234131243 - 28 = 31234130987 is a prime.

It is a super-3 number, since 3×312341312433 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31234131223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2052583 + ... + 2067743.

It is an arithmetic number, because the mean of its divisors is an integer number (1096303572).

Almost surely, 231234131243 is an apocalyptic number.

31234131243 is a deficient number, since it is larger than the sum of its proper divisors (21388440213).

31234131243 is a wasteful number, since it uses less digits than its factorization.

31234131243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15844 (or 15841 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 31234131243 its reverse (34213143213), we get a palindrome (65447274456).

The spelling of 31234131243 in words is "thirty-one billion, two hundred thirty-four million, one hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 53 63 159 371 477 617 1113 1851 3339 4319 5553 12957 15161 32701 38871 45483 98103 106127 136449 228907 294309 318381 686721 803533 955143 2060163 2410599 5624731 7231797 9354337 16874193 28063011 50622579 65480359 84189033 196441077 495779861 589323231 1487339583 3470459027 4462018749 10411377081 31234131243