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1030130645600 = 2552721929371289
BaseRepresentation
bin11101111110110001001…
…00100011101001100000
310122110221120112210221002
432333120210203221200
5113334201421124400
62105122510451132
7134265412004600
oct16773044435140
93573846483832
101030130645600
1136796a9919a1
12147790803aa8
13761aa744214
1437c03d7cc00
151bbe1a99ed5
hexefd8923a60

1030130645600 has 864 divisors, whose sum is σ = 3274173252000. Its totient is φ = 314085703680.

The previous prime is 1030130645567. The next prime is 1030130645603. The reversal of 1030130645600 is 65460310301.

It is a happy number.

1030130645600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301306456002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030130645603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 799169756 + ... + 799171044.

It is an arithmetic number, because the mean of its divisors is an integer number (3789552375).

Almost surely, 21030130645600 is an apocalyptic number.

1030130645600 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 1030130645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637086626000).

1030130645600 is an abundant number, since it is smaller than the sum of its proper divisors (2244042606400).

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

1030130645600 is a wasteful number, since it uses less digits than its factorization.

1030130645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 1030130645600 its reverse (65460310301), we get a palindrome (1095590955901).

The spelling of 1030130645600 in words is "one trillion, thirty billion, one hundred thirty million, six hundred forty-five thousand, six hundred".