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31243224012 = 223711132238699
BaseRepresentation
bin11101000110001111…
…011100001111001100
32222122101122020002220
4131012033130033030
51002441231132022
622204122415340
72154144010440
oct350617341714
988571566086
1031243224012
1112282a926a0
12607b361550
132c3bb11700
1417255ca820
15c2cd5185c
hex7463dc3cc

31243224012 has 288 divisors, whose sum is σ = 102709555200. Its totient is φ = 7164368640.

The previous prime is 31243224011. The next prime is 31243224013. The reversal of 31243224012 is 21042234213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31243224011) and next prime (31243224013).

It is a super-2 number, since 2×312432240122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31243224011) 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, 3587239 + ... + 3595937.

It is an arithmetic number, because the mean of its divisors is an integer number (356630400).

Almost surely, 231243224012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31243224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51354777600).

31243224012 is an abundant number, since it is smaller than the sum of its proper divisors (71466331188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31243224012 is a wasteful number, since it uses less digits than its factorization.

31243224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31243224012 its reverse (21042234213), we get a palindrome (52285458225).

It can be divided in two parts, 31243 and 224012, that added together give a triangular number (255255 = T714).

The spelling of 31243224012 in words is "thirty-one billion, two hundred forty-three million, two hundred twenty-four thousand, twelve".