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30435102124 = 2274131384701
BaseRepresentation
bin11100010110000100…
…101100110110101100
32220120002000101021121
4130112010230312230
5444312341231444
621552013510324
72125132046110
oct342604546654
986502011247
1030435102124
11119a8904769
125a947a23a4
132b40576a8b
14168a149740
15bd1e23084
hex71612cdac

30435102124 has 48 divisors (see below), whose sum is σ = 62554798656. Its totient is φ = 12684672000.

The previous prime is 30435102121. The next prime is 30435102127. The reversal of 30435102124 is 42120153403.

It is an interprime number because it is at equal distance from previous prime (30435102121) and next prime (30435102127).

It is a super-2 number, since 2×304351021242 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30435102121) 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 15 ways as a sum of consecutive naturals, for example, 316974 + ... + 401674.

It is an arithmetic number, because the mean of its divisors is an integer number (1303224972).

Almost surely, 230435102124 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 30435102124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31277399328).

30435102124 is an abundant number, since it is smaller than the sum of its proper divisors (32119696532).

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

30435102124 is a wasteful number, since it uses less digits than its factorization.

30435102124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85066 (or 85064 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 30435102124 its reverse (42120153403), we get a palindrome (72555255527).

The spelling of 30435102124 in words is "thirty billion, four hundred thirty-five million, one hundred two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 41 82 164 287 313 574 626 1148 1252 2191 4382 8764 12833 25666 51332 84701 89831 169402 179662 338804 359324 592907 1185814 2371628 3472741 6945482 13890964 24309187 26511413 48618374 53022826 97236748 106045652 185579891 371159782 742319564 1086967933 2173935866 4347871732 7608775531 15217551062 30435102124