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2012335435131 = 371133181266587
BaseRepresentation
bin11101010010001000100…
…010011110110101111011
321010101012010010212210220
4131102020202132311323
5230432230332411011
64140242032111123
7265246355654550
oct35221042366573
97111163125726
102012335435131
1170647698987a
122860070954a3
131179bb052808
146d57cc66a27
153752ae0b506
hex1d48889ed7b

2012335435131 has 32 divisors (see below), whose sum is σ = 3094536442368. Its totient is φ = 1139367237120.

The previous prime is 2012335435129. The next prime is 2012335435151. The reversal of 2012335435131 is 1315345332102.

It is not a de Polignac number, because 2012335435131 - 21 = 2012335435129 is a prime.

It is a super-2 number, since 2×20123354351312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012335435092 and 2012335435101.

It is not an unprimeable number, because it can be changed into a prime (2012335435151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7415220 + ... + 7681806.

It is an arithmetic number, because the mean of its divisors is an integer number (96704263824).

Almost surely, 22012335435131 is an apocalyptic number.

2012335435131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2012335435131 is a deficient number, since it is larger than the sum of its proper divisors (1082201007237).

2012335435131 is a wasteful number, since it uses less digits than its factorization.

2012335435131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269891.

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 2012335435131 in words is "two trillion, twelve billion, three hundred thirty-five million, four hundred thirty-five thousand, one hundred thirty-one".

Divisors: 1 3 7 21 113 339 791 2373 3181 9543 22267 66801 266587 359453 799761 1078359 1866109 2516171 5598327 7548513 30124331 90372993 210870317 632610951 848013247 2544039741 5936092729 17808278187 95825496911 287476490733 670778478377 2012335435131