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131029807041 = 32797167128393
BaseRepresentation
bin111101000000111111…
…1000010111111000001
3110112012200200212022100
41322001333002333001
54121322112311131
6140105543301013
712316016661150
oct1720177027701
9415180625270
10131029807041
1150629a01431
122148974a769
13c482349c03
1464b0175597
15361d4817e6
hex1e81fc2fc1

131029807041 has 48 divisors (see below), whose sum is σ = 219843396864. Its totient is φ = 73657976832.

The previous prime is 131029807037. The next prime is 131029807067. The reversal of 131029807041 is 140708920131.

It is a happy number.

It is not a de Polignac number, because 131029807041 - 22 = 131029807037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131029806987 and 131029807005.

It is not an unprimeable number, because it can be changed into a prime (131029807031) 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, 956341 + ... + 1084733.

It is an arithmetic number, because the mean of its divisors is an integer number (4580070768).

Almost surely, 2131029807041 is an apocalyptic number.

It is an amenable number.

131029807041 is a deficient number, since it is larger than the sum of its proper divisors (88813589823).

131029807041 is a wasteful number, since it uses less digits than its factorization.

131029807041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128670 (or 128667 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 131029807041 in words is "one hundred thirty-one billion, twenty-nine million, eight hundred seven thousand, forty-one".

Divisors: 1 3 7 9 21 63 97 167 291 501 679 873 1169 1503 2037 3507 6111 10521 16199 48597 113393 128393 145791 340179 385179 898751 1020537 1155537 2696253 8088759 12454121 21441631 37362363 64324893 87178847 112087089 150091417 192974679 261536541 450274251 784609623 1350822753 2079838207 6239514621 14558867449 18718543863 43676602347 131029807041