Search a number
-
+
1030147557120 = 283251119427859
BaseRepresentation
bin11101111110110011001…
…01000100011100000000
310122110222202101000011200
432333121211010130000
5113334220233311440
62105124313141200
7134266005521403
oct16773145043400
93573882330150
101030147557120
11367979492860
121477963ba800
13761b10b5936
1437c06301d3a
151bbe32dac30
hexefd9944700

1030147557120 has 432 divisors, whose sum is σ = 4092874531200. Its totient is φ = 236588359680.

The previous prime is 1030147557077. The next prime is 1030147557167. The reversal of 1030147557120 is 217557410301.

1030147557120 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 14 + 75 + 571 + 2 + 0 = 666.

It is a super-2 number, since 2×10301475571202 (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2193751 + ... + 2621609.

It is an arithmetic number, because the mean of its divisors is an integer number (9474246600).

Almost surely, 21030147557120 is an apocalyptic number.

1030147557120 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 1030147557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046437265600).

1030147557120 is an abundant number, since it is smaller than the sum of its proper divisors (3062726974080).

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

1030147557120 is a wasteful number, since it uses less digits than its factorization.

1030147557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427916 (or 427899 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 1030147557120 in words is "one trillion, thirty billion, one hundred forty-seven million, five hundred fifty-seven thousand, one hundred twenty".