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31430311000 = 23531131611511
BaseRepresentation
bin11101010001011001…
…000111110001011000
310000010102200020012121
4131101121013301120
51003332124423000
622234444351024
72161605143524
oct352131076130
9100112606177
1031430311000
1112369655940
126111b45474
132c6b7c727a
1417423aad84
15c3e4a9b1a
hex751647c58

31430311000 has 256 divisors, whose sum is σ = 84234608640. Its totient is φ = 10872000000.

The previous prime is 31430310943. The next prime is 31430311001. The reversal of 31430311000 is 11303413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31430311001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 20800245 + ... + 20801755.

It is an arithmetic number, because the mean of its divisors is an integer number (329041440).

Almost surely, 231430311000 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 31430311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42117304320).

31430311000 is an abundant number, since it is smaller than the sum of its proper divisors (52804297640).

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

31430311000 is a wasteful number, since it uses less digits than its factorization.

31430311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31430311000 its reverse (11303413), we get a palindrome (31441614413).

The spelling of 31430311000 in words is "thirty-one billion, four hundred thirty million, three hundred eleven thousand".