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30031131003030 = 232541277136721493
BaseRepresentation
bin1101101010000001010101…
…11001010100100010010110
310221022221121011011120100100
412311000222321110202112
512414012224014044110
6143512040000354530
76216451264505043
oct665005271244226
9127287534146310
1030031131003030
1196291495a5433
123450299015a46
13139ac00c1b6c1
1475b72bac41ca
153712a2d5ebc0
hex1b502ae54896

30031131003030 has 192 divisors, whose sum is σ = 80336570041728. Its totient is φ = 7778714757120.

The previous prime is 30031131003019. The next prime is 30031131003077. The reversal of 30031131003030 is 3030013113003.

30031131003030 is a `hidden beast` number, since 300 + 31 + 1 + 31 + 0 + 0 + 303 + 0 = 666.

It is a super-2 number, since 2×300311310030302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30031131002994 and 30031131003012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1397240964 + ... + 1397262456.

It is an arithmetic number, because the mean of its divisors is an integer number (418419635634).

Almost surely, 230031131003030 is an apocalyptic number.

30031131003030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30031131003030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40168285020864).

30031131003030 is an abundant number, since it is smaller than the sum of its proper divisors (50305439038698).

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

30031131003030 is a wasteful number, since it uses less digits than its factorization.

30031131003030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23191 (or 23188 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 30031131003030 its reverse (3030013113003), we get a palindrome (33061144116033).

The spelling of 30031131003030 in words is "thirty trillion, thirty-one billion, one hundred thirty-one million, three thousand, thirty".