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312013240221 = 317229113109819
BaseRepresentation
bin1001000101001010111…
…00000011011110011101
31002211100201221212021010
410202211130003132131
520103000342141341
6355200434325433
731353656532324
oct4424534033635
91084321855233
10312013240221
11110362381501
1250578729879
132356594aa87
141115c8090bb
1581b2197716
hex48a570379d

312013240221 has 48 divisors (see below), whose sum is σ = 461217643200. Its totient is φ = 187347750912.

The previous prime is 312013240183. The next prime is 312013240277. The reversal of 312013240221 is 122042310213.

It is not a de Polignac number, because 312013240221 - 215 = 312013207453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312013640221) 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 47 ways as a sum of consecutive naturals, for example, 2786250 + ... + 2896068.

It is an arithmetic number, because the mean of its divisors is an integer number (9608700900).

Almost surely, 2312013240221 is an apocalyptic number.

It is an amenable number.

312013240221 is a deficient number, since it is larger than the sum of its proper divisors (149204402979).

312013240221 is a wasteful number, since it uses less digits than its factorization.

312013240221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109998 (or 109981 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 312013240221 its reverse (122042310213), we get a palindrome (434055550434).

The spelling of 312013240221 in words is "three hundred twelve billion, thirteen million, two hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 17 29 51 87 113 289 339 493 867 1479 1921 3277 5763 8381 9831 25143 32657 55709 97971 109819 167127 329457 947053 1866923 2841159 3184751 5600769 9554253 12409547 31737691 37228641 54140767 95213073 162422301 210962299 359876863 632886897 920393039 1079630589 2761179117 3586359083 6117906671 10759077249 18353720013 104004413407 312013240221