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30121287480 = 233351719791093
BaseRepresentation
bin11100000011010111…
…100101111100111000
32212202012111221112000
4130003113211330320
5443142022144410
621500523421000
72114301501444
oct340327457470
985665457460
1030121287480
1111857755119
125a07684760
132ac055003b
14165a5bb824
15bb45d5dc0
hex7035e5f38

30121287480 has 512 divisors, whose sum is σ = 113425920000. Its totient is φ = 7064838144.

The previous prime is 30121287437. The next prime is 30121287503. The reversal of 30121287480 is 8478212103.

30121287480 is a `hidden beast` number, since 30 + 121 + 28 + 7 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27557814 + ... + 27558906.

It is an arithmetic number, because the mean of its divisors is an integer number (221535000).

Almost surely, 230121287480 is an apocalyptic number.

30121287480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30121287480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56712960000).

30121287480 is an abundant number, since it is smaller than the sum of its proper divisors (83304632520).

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

30121287480 is a wasteful number, since it uses less digits than its factorization.

30121287480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 30121287480 its reverse (8478212103), we get a palindrome (38599499583).

The spelling of 30121287480 in words is "thirty billion, one hundred twenty-one million, two hundred eighty-seven thousand, four hundred eighty".