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131221434130 = 25171997491853
BaseRepresentation
bin111101000110101101…
…0000010111100010010
3110112201001021112020221
41322031122002330102
54122220141343010
6140140550423254
712323534533543
oct1721532027422
9415631245227
10131221434130
1150718095726
1221521961b2a
13c4b2c62117
1464cb7b84ca
1536301d4dda
hex1e8d682f12

131221434130 has 128 divisors (see below), whose sum is σ = 266823486720. Its totient is φ = 46169948160.

The previous prime is 131221434121. The next prime is 131221434199. The reversal of 131221434130 is 31434122131.

It is a junction number, because it is equal to n+sod(n) for n = 131221434095 and 131221434104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153834784 + ... + 153835636.

It is an arithmetic number, because the mean of its divisors is an integer number (2084558490).

Almost surely, 2131221434130 is an apocalyptic number.

131221434130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131221434130 is an abundant number, since it is smaller than the sum of its proper divisors (135602052590).

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

131221434130 is a wasteful number, since it uses less digits than its factorization.

131221434130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 131221434130 its reverse (31434122131), we get a palindrome (162655556261).

The spelling of 131221434130 in words is "one hundred thirty-one billion, two hundred twenty-one million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 5 10 17 19 34 38 85 95 97 170 190 194 323 485 491 646 853 970 982 1615 1649 1706 1843 2455 3230 3298 3686 4265 4910 8245 8347 8530 9215 9329 14501 16207 16490 16694 18430 18658 29002 31331 32414 41735 46645 47627 62662 72505 81035 82741 83470 93290 95254 145010 156655 158593 162070 165482 238135 275519 313310 317186 413705 418823 476270 551038 792965 809659 827410 837646 904913 1377595 1406597 1572079 1585930 1619318 1809826 2094115 2755190 2813194 3144158 4048295 4188230 4524565 7032985 7119991 7860395 7957637 8096590 9049130 14065970 14239982 15383521 15720790 15915274 26725343 30767042 35599955 39788185 40625831 53450686 71199910 76917605 79576370 81251662 133626715 135279829 153835210 203129155 267253430 270559658 406258310 676399145 690639127 771890789 1352798290 1381278254 1543781578 3453195635 3859453945 6906391270 7718907890 13122143413 26244286826 65610717065 131221434130