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2131313321223 = 325359613533517
BaseRepresentation
bin11111000000111100001…
…011000110010100000111
321112202021220000201121200
4133000330023012110013
5234404412202234343
64311040053113543
7306660634214202
oct37007413062407
97482256021550
102131313321223
11751980896659
122a50906288b3
13125c9c559348
1475228546939
153a6912b34d3
hex1f03c2c6507

2131313321223 has 96 divisors (see below), whose sum is σ = 3252214255680. Its totient is φ = 1343771320320.

The previous prime is 2131313321197. The next prime is 2131313321233. The reversal of 2131313321223 is 3221233131312.

2131313321223 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 313 + 321 + 2 + 23 = 666.

It is not a de Polignac number, because 2131313321223 - 212 = 2131313317127 is a prime.

It is a super-2 number, since 2×21313133212232 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131313321233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 606001461 + ... + 606004977.

It is an arithmetic number, because the mean of its divisors is an integer number (33877231830).

Almost surely, 22131313321223 is an apocalyptic number.

2131313321223 is a deficient number, since it is larger than the sum of its proper divisors (1120900934457).

2131313321223 is a wasteful number, since it uses less digits than its factorization.

2131313321223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4046 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2131313321223 its reverse (3221233131312), we get a palindrome (5352546452535).

The spelling of 2131313321223 in words is "two trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 3 9 53 59 61 159 177 183 353 477 531 549 1059 3127 3177 3233 3517 3599 9381 9699 10551 10797 18709 20827 21533 28143 29097 31653 32391 56127 62481 64599 168381 186401 187443 190747 193797 207503 214537 559203 572241 622509 643611 1103831 1141249 1241501 1270447 1677609 1716723 1867527 1930833 3311493 3423747 3724503 3811341 9934479 10271241 10997659 11173509 11370461 11434023 12657683 32992977 34111383 37973049 65799553 67333691 73248559 75731561 98978931 102334149 113919147 197398659 202001073 219745677 227194683 592195977 606003219 659237031 670857199 681584049 2012571597 3882173627 4013772733 4468162099 6037714791 11646520881 12041318199 13404486297 34939562643 36123954597 40213458891 236812591247 710437773741 2131313321223