Search a number
-
+
31054532522049 = 3341107280193601
BaseRepresentation
bin1110000111110011100100…
…11000010011000001000001
311001221210011202200022222000
413003321302120103001001
513032244140311201144
6150014131050534213
76353421160053051
oct703716230230101
9131853152608860
1031054532522049
119993176022993
1235966b0137369
1314435784ca1ca
14795094097561
1538cbedc99769
hex1c3e72613041

31054532522049 has 64 divisors (see below), whose sum is σ = 47586777557760. Its totient is φ = 20001945600000.

The previous prime is 31054532521993. The next prime is 31054532522051. The reversal of 31054532522049 is 94022523545013.

It is a happy number.

31054532522049 is a `hidden beast` number, since 3 + 1 + 0 + 5 + 4 + 532 + 52 + 20 + 49 = 666.

It is not a de Polignac number, because 31054532522049 - 27 = 31054532521921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31054532521995 and 31054532522013.

It is not an unprimeable number, because it can be changed into a prime (31054532522059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331728849 + ... + 331822449.

It is an arithmetic number, because the mean of its divisors is an integer number (743543399340).

Almost surely, 231054532522049 is an apocalyptic number.

It is an amenable number.

31054532522049 is a deficient number, since it is larger than the sum of its proper divisors (16532245035711).

31054532522049 is a wasteful number, since it uses less digits than its factorization.

31054532522049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96559 (or 96553 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 31054532522049 in words is "thirty-one trillion, fifty-four billion, five hundred thirty-two million, five hundred twenty-two thousand, forty-nine".

Divisors: 1 3 9 27 41 107 123 321 369 963 1107 2801 2889 4387 8403 13161 25209 39483 75627 93601 114841 118449 280803 299707 344523 842409 899121 1033569 2527227 2697363 3100707 3837641 8092089 10015307 11512923 12287987 30045921 34538769 36863961 90137763 103616307 110591883 262176401 270413289 331775649 410627587 786529203 1231882761 2359587609 3695648283 7078762827 10749232441 11086944849 28052874907 32247697323 84158624721 96743091969 252475874163 290229275907 757427622489 1150167871187 3450503613561 10351510840683 31054532522049