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221131213131320 = 235311311361310103
BaseRepresentation
bin110010010001111000011111…
…011010000100111000111000
31001222221221022110011200122122
4302101320133122010320320
5212441003211030200240
62102150135450540412
764402126414322012
oct6221703732047070
91058857273150578
10221131213131320
1164506247a2a978
1220974863a37708
139650778b5434b
143c86b449411b2
151a871e4c814b5
hexc91e1f684e38

221131213131320 has 64 divisors (see below), whose sum is σ = 517515649136640. Its totient is φ = 84945750364800.

The previous prime is 221131213131299. The next prime is 221131213131403. The reversal of 221131213131320 is 23131312131122.

It is a self number, because there is not a number n which added to its sum of digits gives 221131213131320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680492612 + ... + 680817491.

It is an arithmetic number, because the mean of its divisors is an integer number (8086182017760).

Almost surely, 2221131213131320 is an apocalyptic number.

221131213131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131213131320 is an abundant number, since it is smaller than the sum of its proper divisors (296384436005320).

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

221131213131320 is a wasteful number, since it uses less digits than its factorization.

221131213131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361310276 (or 1361310272 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 221131213131320 its reverse (23131312131122), we get a palindrome (244262525262442).

The spelling of 221131213131320 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, two hundred thirteen million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 131 155 248 262 310 524 620 655 1048 1240 1310 2620 4061 5240 8122 16244 20305 32488 40610 81220 162440 1361310103 2722620206 5445240412 6806550515 10890480824 13613101030 27226202060 42200613193 54452404120 84401226386 168802452772 178331623493 211003065965 337604905544 356663246986 422006131930 713326493972 844012263860 891658117465 1426652987944 1688024527720 1783316234930 3566632469860 5528280328283 7133264939720 11056560656566 22113121313132 27641401641415 44226242626264 55282803282830 110565606565660 221131213131320