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1030025104020 = 22325111963143391
BaseRepresentation
bin11101111110100100100…
…01111100101010010100
310122110200012221202002200
432333102101330222110
5113333442411312040
62105104220404500
7134262660632313
oct16772221745224
93573605852080
101030025104020
11367916355a50
121477613a6730
1376191910293
1437bd3d4827a
151bbd769d630
hexefd247ca94

1030025104020 has 288 divisors, whose sum is σ = 3593607413760. Its totient is φ = 236180448000.

The previous prime is 1030025104007. The next prime is 1030025104021. The reversal of 1030025104020 is 204015200301.

1030025104020 is a `hidden beast` number, since 10 + 3 + 0 + 0 + 251 + 0 + 402 + 0 = 666.

It is a super-2 number, since 2×10300251040202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030025103984 and 1030025104002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030025104021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23716525 + ... + 23759915.

It is an arithmetic number, because the mean of its divisors is an integer number (12477803520).

Almost surely, 21030025104020 is an apocalyptic number.

1030025104020 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 1030025104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796803706880).

1030025104020 is an abundant number, since it is smaller than the sum of its proper divisors (2563582309740).

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

1030025104020 is a wasteful number, since it uses less digits than its factorization.

1030025104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44067 (or 44062 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 1030025104020 in words is "one trillion, thirty billion, twenty-five million, one hundred four thousand, twenty".