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2131000312221 = 3211374638831423
BaseRepresentation
bin11111000000101001100…
…001000100000110011101
321112201111002001012222200
4133000221201010012131
5234403242034442341
64310545032202113
7306650113533414
oct37005141040635
97481432035880
102131000312221
11751830137330
122a5003839339
13125c4c755211
14751d8b4847b
153a673a84db6
hex1f02984419d

2131000312221 has 96 divisors (see below), whose sum is σ = 3462489219072. Its totient is φ = 1251595255680.

The previous prime is 2131000312141. The next prime is 2131000312229. The reversal of 2131000312221 is 1222130001312.

2131000312221 is a `hidden beast` number, since 2 + 131 + 0 + 0 + 0 + 312 + 221 = 666.

It is not a de Polignac number, because 2131000312221 - 210 = 2131000311197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2131000312194 and 2131000312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131000312229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1497539916 + ... + 1497541338.

It is an arithmetic number, because the mean of its divisors is an integer number (36067596032).

Almost surely, 22131000312221 is an apocalyptic number.

It is an amenable number.

2131000312221 is a deficient number, since it is larger than the sum of its proper divisors (1331488906851).

2131000312221 is a wasteful number, since it uses less digits than its factorization.

2131000312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2131000312221 its reverse (1222130001312), we get a palindrome (3353130313533).

The spelling of 2131000312221 in words is "two trillion, one hundred thirty-one billion, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 463 883 1221 1389 1423 2649 3663 4167 4269 5093 7947 9713 12807 15279 15653 17131 29139 32671 45837 46959 51393 52651 87417 98013 140877 154179 157953 188441 294039 359381 408829 473859 565323 579161 658849 1078143 1226487 1256509 1695969 1737483 1976547 3234429 3679461 3769527 4497119 5212449 5929641 7247339 11308581 13491357 13821599 15126673 21742017 24377413 40474071 41464797 45380019 46490833 65226051 73132239 124394391 136140057 139472499 166393403 219396717 268151543 418417497 499180209 511399163 581763667 804454629 1497540627 1534197489 1745291001 2413363887 4602592467 5235873003 6399400337 19198201011 21525255679 57594603033 64575767037 193727301111 236777812469 710333437407 2131000312221