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131401231310220 = 2235109175731143341
BaseRepresentation
bin11101111000001000111011…
…101101110001110110001100
3122020020211112201221010022220
4131320020323231301312030
5114210334210203411340
61143244520423535340
736451266002263314
oct3570107355616614
9566224481833286
10131401231310220
1138960a494a7073
12128a25325ba550
1358421102c6991
142463bd4128444
15102d0aa87aed0
hex77823bb71d8c

131401231310220 has 96 divisors (see below), whose sum is σ = 371320345851840. Its totient is φ = 34716851389440.

The previous prime is 131401231310207. The next prime is 131401231310233. The reversal of 131401231310220 is 22013132104131.

It is an interprime number because it is at equal distance from previous prime (131401231310207) and next prime (131401231310233).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114355750 + ... + 115499090.

It is an arithmetic number, because the mean of its divisors is an integer number (3867920269290).

Almost surely, 2131401231310220 is an apocalyptic number.

131401231310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131401231310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185660172925920).

131401231310220 is an abundant number, since it is smaller than the sum of its proper divisors (239919114541620).

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

131401231310220 is a wasteful number, since it uses less digits than its factorization.

131401231310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161035 (or 1161033 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131401231310220 its reverse (22013132104131), we get a palindrome (153414363414351).

The spelling of 131401231310220 in words is "one hundred thirty-one trillion, four hundred one billion, two hundred thirty-one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 17573 35146 52719 70292 87865 105438 175730 210876 263595 351460 527190 1054380 1143341 1915457 2286682 3430023 3830914 4573364 5716705 5746371 6860046 7661828 9577285 11433410 11492742 13720092 17150115 19154570 22866820 22985484 28731855 34300230 38309140 57463710 68600460 114927420 124624169 249248338 373872507 498496676 623120845 747745014 1246241690 1495490028 1869362535 2492483380 3738725070 7477450140 20091931393 40183862786 60275794179 80367725572 100459656965 120551588358 200919313930 241103176716 301378970895 401838627860 602757941790 1205515883580 2190020521837 4380041043674 6570061565511 8760082087348 10950102609185 13140123131022 21900205218370 26280246262044 32850307827555 43800410436740 65700615655110 131401231310220