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131701661130 = 235132179145121
BaseRepresentation
bin111101010101000000…
…1111101110111001010
3110120221111220120212010
41322222001331313022
54124211111124010
6140300343400350
712341455435344
oct1725201756712
9416844816763
10131701661130
1150944177346
12216367530b6
13c55b5b3200
1465354a4294
15365c444620
hex1eaa07ddca

131701661130 has 96 divisors (see below), whose sum is σ = 344182944960. Its totient is φ = 32237537280.

The previous prime is 131701661089. The next prime is 131701661153. The reversal of 131701661130 is 31166107131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834970 + ... + 980090.

It is an arithmetic number, because the mean of its divisors is an integer number (3585239010).

Almost surely, 2131701661130 is an apocalyptic number.

131701661130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131701661130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172091472480).

131701661130 is an abundant number, since it is smaller than the sum of its proper divisors (212481283830).

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

131701661130 is a wasteful number, since it uses less digits than its factorization.

131701661130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145336 (or 145323 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

Adding to 131701661130 its reverse (31166107131), we get a palindrome (162867768261).

The spelling of 131701661130 in words is "one hundred thirty-one billion, seven hundred one million, six hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 179 195 338 358 390 507 537 845 895 1014 1074 1690 1790 2327 2535 2685 4654 5070 5370 6981 11635 13962 23270 30251 34905 60502 69810 90753 145121 151255 181506 290242 302510 435363 453765 725605 870726 907530 1451210 1886573 2176815 3773146 4353630 5659719 9432865 11319438 18865730 24525449 25976659 28298595 49050898 51953318 56597190 73576347 77929977 122627245 129883295 147152694 155859954 245254490 259766590 337696567 367881735 389649885 675393134 735763470 779299770 1013089701 1688482835 2026179402 3376965670 4390055371 5065448505 8780110742 10130897010 13170166113 21950276855 26340332226 43900553710 65850830565 131701661130