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31212403353 = 343710414549
BaseRepresentation
bin11101000100011001…
…110111101010011001
32222120020122101010000
4131010121313222121
51002410333401403
622201102043213
72153321023335
oct350431675231
988506571100
1031212403353
111226765167a
126070b79509
132c35610031
1417214867c5
15c2a2b47a3
hex744677a99

31212403353 has 20 divisors (see below), whose sum is σ = 47886100900. Its totient is φ = 20245881312.

The previous prime is 31212403319. The next prime is 31212403357. The reversal of 31212403353 is 35330421213.

31212403353 is a `hidden beast` number, since 312 + 12 + 4 + 0 + 335 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29959455744 + 1252947609 = 173088^2 + 35397^2 .

It is not a de Polignac number, because 31212403353 - 28 = 31212403097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31212403357) 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 19 ways as a sum of consecutive naturals, for example, 5204278 + ... + 5210271.

It is an arithmetic number, because the mean of its divisors is an integer number (2394305045).

Almost surely, 231212403353 is an apocalyptic number.

It is an amenable number.

31212403353 is a deficient number, since it is larger than the sum of its proper divisors (16673697547).

31212403353 is a wasteful number, since it uses less digits than its factorization.

31212403353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10414598 (or 10414589 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 31212403353 its reverse (35330421213), we get a palindrome (66542824566).

The spelling of 31212403353 in words is "thirty-one billion, two hundred twelve million, four hundred three thousand, three hundred fifty-three".

Divisors: 1 3 9 27 37 81 111 333 999 2997 10414549 31243647 93730941 281192823 385338313 843578469 1156014939 3468044817 10404134451 31212403353