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1020012010000 = 2454102001201
BaseRepresentation
bin11101101011111010111…
…01000001101000010000
310121111211101112212100121
432311331131001220100
5113202441033310000
62100330445200024
7133456564013344
oct16657535015020
93544741485317
101020012010000
11363648208235
12145827b60014
13752572b9b89
1437524177624
151b7ed5a5b1a
hexed7d741a10

1020012010000 has 50 divisors (see below), whose sum is σ = 2469551101622. Its totient is φ = 408004800000.

The previous prime is 1020012009979. The next prime is 1020012010033. The reversal of 1020012010000 is 102100201.

1020012010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 185354358784 + 834657651216 = 430528^2 + 913596^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 50990601 + ... + 51010600.

Almost surely, 21020012010000 is an apocalyptic number.

1020012010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020012010000 is an abundant number, since it is smaller than the sum of its proper divisors (1449539091622).

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

1020012010000 is an equidigital number, since it uses as much as digits as its factorization.

1020012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102001229 (or 102001208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1020012010000 its reverse (102100201), we get a palindrome (1020114110201).

The spelling of 1020012010000 in words is "one trillion, twenty billion, twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 102001201 204002402 408004804 510006005 816009608 1020012010 1632019216 2040024020 2550030025 4080048040 5100060050 8160096080 10200120100 12750150125 20400240200 25500300250 40800480400 51000600500 63750750625 102001201000 127501501250 204002402000 255003002500 510006005000 1020012010000