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131005320530 = 25731910718787
BaseRepresentation
bin111101000000010000…
…1101000110101010010
3110112010222121211010112
41322000201220311102
54121244330224110
6140103310401322
712315301565000
oct1720041506522
9415128554115
10131005320530
11506170a7347
1221481500242
13c47a255656
1464aabdda70
15361b246405
hex1e80868d52

131005320530 has 128 divisors (see below), whose sum is σ = 292190976000. Its totient is φ = 42152177088.

The previous prime is 131005320529. The next prime is 131005320533. The reversal of 131005320530 is 35023500131.

It is a junction number, because it is equal to n+sod(n) for n = 131005320496 and 131005320505.

It is not an unprimeable number, because it can be changed into a prime (131005320533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6963797 + ... + 6982583.

It is an arithmetic number, because the mean of its divisors is an integer number (2282742000).

Almost surely, 2131005320530 is an apocalyptic number.

131005320530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131005320530 is an abundant number, since it is smaller than the sum of its proper divisors (161185655470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131005320530 is a wasteful number, since it uses less digits than its factorization.

131005320530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18941 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

Adding to 131005320530 its reverse (35023500131), we get a palindrome (166028820661).

The spelling of 131005320530 in words is "one hundred thirty-one billion, five million, three hundred twenty thousand, five hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 107 133 190 214 245 266 343 490 535 665 686 749 931 1070 1330 1498 1715 1862 2033 3430 3745 4066 4655 5243 6517 7490 9310 10165 10486 13034 14231 18787 20330 26215 28462 32585 36701 37574 52430 65170 71155 73402 93935 99617 131509 142310 183505 187870 199234 263018 356953 367010 498085 657545 697319 713906 920563 996170 1315090 1394638 1784765 1841126 2010209 2498671 3486595 3569530 4020418 4602815 4997342 6443941 6973190 9205630 10051045 12493355 12887882 14071463 17490697 20102090 24986710 28142926 32219705 34981394 38193971 64439410 70357315 76387942 87453485 98500241 122434879 140714630 174906970 190969855 197000482 244869758 267357797 381939710 492501205 534715594 612174395 689501687 985002410 1224348790 1336788985 1379003374 1871504579 2673577970 3447508435 3743009158 6895016870 9357522895 13100532053 18715045790 26201064106 65502660265 131005320530