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31442124330 = 2325349356937
BaseRepresentation
bin11101010010000110…
…001011111000101010
310000011020220102001100
4131102012023320222
51003343140434310
622235545502230
72162110434651
oct352206137052
9100136812040
1031442124330
1112375294421
126115aa1976
132c710a22c6
141743ba4198
15c4053eec0
hex75218be2a

31442124330 has 24 divisors (see below), whose sum is σ = 81749523492. Its totient is φ = 8384566464.

The previous prime is 31442124323. The next prime is 31442124349. The reversal of 31442124330 is 3342124413.

31442124330 is a `hidden beast` number, since 3 + 14 + 4 + 212 + 433 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31402320849 + 39803481 = 177207^2 + 6309^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31442124294 and 31442124303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174678379 + ... + 174678558.

Almost surely, 231442124330 is an apocalyptic number.

31442124330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31442124330 is an abundant number, since it is smaller than the sum of its proper divisors (50307399162).

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

31442124330 is a wasteful number, since it uses less digits than its factorization.

31442124330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349356950 (or 349356947 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31442124330 its reverse (3342124413), we get a palindrome (34784248743).

The spelling of 31442124330 in words is "thirty-one billion, four hundred forty-two million, one hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 349356937 698713874 1048070811 1746784685 2096141622 3144212433 3493569370 5240354055 6288424866 10480708110 15721062165 31442124330