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41031012123 = 322961103131191
BaseRepresentation
bin100110001101101000…
…111000111100011011
310220220112002101020200
4212031220320330123
51133012414341443
630503244553243
72651533564023
oct461550707433
9126815071220
1041031012123
1116445a33782
127b51252823
133b3b85a2ca
141db34aca83
151102291dd3
hex98da38f1b

41031012123 has 96 divisors (see below), whose sum is σ = 63733063680. Its totient is φ = 25395552000.

The previous prime is 41031012119. The next prime is 41031012137. The reversal of 41031012123 is 32121013014.

It is not a de Polignac number, because 41031012123 - 22 = 41031012119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41031012096 and 41031012105.

It is not an unprimeable number, because it can be changed into a prime (41031012193) 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 95 ways as a sum of consecutive naturals, for example, 214821958 + ... + 214822148.

It is an arithmetic number, because the mean of its divisors is an integer number (663886080).

Almost surely, 241031012123 is an apocalyptic number.

41031012123 is a deficient number, since it is larger than the sum of its proper divisors (22702051557).

41031012123 is a wasteful number, since it uses less digits than its factorization.

41031012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41031012123 its reverse (32121013014), we get a palindrome (73152025137).

The spelling of 41031012123 in words is "forty-one billion, thirty-one million, twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 29 61 87 103 131 183 191 261 309 393 549 573 927 1179 1719 1769 2987 3799 5307 5539 6283 7991 8961 11397 11651 13493 15921 16617 18849 19673 23973 25021 26883 34191 34953 40479 49851 56547 59019 71919 75063 104859 121437 177057 182207 225189 231739 337879 391297 546621 570517 695217 725609 823073 1013637 1173891 1200053 1526281 1639863 1711551 2085651 2176827 2469219 2577163 3040911 3521673 3600159 4578843 5134653 6530481 7407657 7731489 10800477 13736529 23194467 23869117 34801537 44262149 71607351 74737727 104404611 132786447 157206943 214822053 224213181 313213833 398359341 471620829 672639543 1414862487 4559001347 13677004041 41031012123