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1030030433120 = 2551310131715467
BaseRepresentation
bin11101111110100101001…
…10010001101101100000
310122110200120222111020202
432333102212101231200
5113334000242324440
62105104530524332
7134263054136123
oct16772246215540
93573616874222
101030030433120
11367919365867
121477631366a8
1376192a57ab0
1437bd49343ba
151bbd7da2615
hexefd2991b60

1030030433120 has 192 divisors, whose sum is σ = 2655102494016. Its totient is φ = 375341260800.

The previous prime is 1030030433059. The next prime is 1030030433141. The reversal of 1030030433120 is 213340300301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1030030433092 and 1030030433101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66587627 + ... + 66603093.

It is an arithmetic number, because the mean of its divisors is an integer number (13828658823).

Almost surely, 21030030433120 is an apocalyptic number.

1030030433120 is a gapful number since it is divisible by the number (10) 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 1030030433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327551247008).

1030030433120 is an abundant number, since it is smaller than the sum of its proper divisors (1625072060896).

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

1030030433120 is a wasteful number, since it uses less digits than its factorization.

1030030433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15913 (or 15905 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1030030433120 its reverse (213340300301), we get a palindrome (1243370733421).

The spelling of 1030030433120 in words is "one trillion, thirty billion, thirty million, four hundred thirty-three thousand, one hundred twenty".