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1030102020000 = 2532548964301
BaseRepresentation
bin11101111110101101101…
…11010110111110100000
310122110212120200110222200
432333112313112332200
5113334122104120000
62105120005133200
7134264613462204
oct16772667267640
93573776613880
101030102020000
11367955810079
121477830ba200
13761a48309b1
1437c0024ab04
151bbde2e3500
hexefd6dd6fa0

1030102020000 has 360 divisors, whose sum is σ = 3701706028020. Its totient is φ = 271603200000.

The previous prime is 1030102019993. The next prime is 1030102020091. The reversal of 1030102020000 is 202010301.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 261190500624 + 768911519376 = 511068^2 + 876876^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10301020200002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15987850 + ... + 16052150.

Almost surely, 21030102020000 is an apocalyptic number.

1030102020000 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 1030102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850853014010).

1030102020000 is an abundant number, since it is smaller than the sum of its proper divisors (2671604008020).

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

1030102020000 is an equidigital number, since it uses as much as digits as its factorization.

1030102020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64426 (or 64400 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1030102020000 its reverse (202010301), we get a palindrome (1030304030301).

The spelling of 1030102020000 in words is "one trillion, thirty billion, one hundred two million, twenty thousand".