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1025441212320 = 253357237130927
BaseRepresentation
bin11101110110000010000…
…11110010011110100000
310122000211202112220211000
432323001003302132200
5113300100422243240
62103025311552000
7134041250326500
oct16730103623640
93560752486730
101025441212320
113659839162a8
121468a222b600
1375911042c25
14378bb241a00
151ba1a03d430
hexeec10f27a0

1025441212320 has 576 divisors, whose sum is σ = 4287881525760. Its totient is φ = 228050049024.

The previous prime is 1025441212319. The next prime is 1025441212331. The reversal of 1025441212320 is 232121445201.

1025441212320 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 441 + 212 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×10254412123202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 7766697 + ... + 7897623.

It is an arithmetic number, because the mean of its divisors is an integer number (7444238760).

Almost surely, 21025441212320 is an apocalyptic number.

1025441212320 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 1025441212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143940762880).

1025441212320 is an abundant number, since it is smaller than the sum of its proper divisors (3262440313440).

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

1025441212320 is a wasteful number, since it uses less digits than its factorization.

1025441212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131002 (or 130981 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1025441212320 its reverse (232121445201), we get a palindrome (1257562657521).

The spelling of 1025441212320 in words is "one trillion, twenty-five billion, four hundred forty-one million, two hundred twelve thousand, three hundred twenty".