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30131431000 = 23531137101733
BaseRepresentation
bin11100000011111110…
…010010011001011000
32212202220121021210221
4130003332102121120
5443202121243000
621501525045424
72114453636416
oct340376223130
985686537727
1030131431000
11118624530a0
125a0ab56874
132ac2692018
14165ba9c2b6
15bb543b61a
hex703f92658

30131431000 has 256 divisors, whose sum is σ = 79887150720. Its totient is φ = 10540800000.

The previous prime is 30131430983. The next prime is 30131431069. The reversal of 30131431000 is 13413103.

It is a super-2 number, since 2×301314310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 41106634 + ... + 41107366.

Almost surely, 230131431000 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 30131431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39943575360).

30131431000 is an abundant number, since it is smaller than the sum of its proper divisors (49755719720).

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

30131431000 is a wasteful number, since it uses less digits than its factorization.

30131431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 889 counting only the distinct ones).

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

Adding to 30131431000 its reverse (13413103), we get a palindrome (30144844103).

The spelling of 30131431000 in words is "thirty billion, one hundred thirty-one million, four hundred thirty-one thousand".