Search a number
-
+
10020200012010 = 2325111335555689
BaseRepresentation
bin1001000111010000001001…
…1101100101100011101010
31022110220212222010011222100
42101310002131211203222
52303132332200341020
633151114421234230
72052635616535506
oct221640235454352
938426788104870
1010020200012010
1132135a7754021
121159b94862976
13578b930c2a56
14268da1bdb306
151259ad51ba90
hex91d027658ea

10020200012010 has 24 divisors (see below), whose sum is σ = 26052520031460. Its totient is φ = 2672053336512.

The previous prime is 10020200011949. The next prime is 10020200012033. The reversal of 10020200012010 is 1021000202001.

It can be written as a sum of positive squares in 2 ways, for example, as 9339362145369 + 680837866641 = 3056037^2 + 825129^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10020200011983 and 10020200012001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55667777755 + ... + 55667777934.

Almost surely, 210020200012010 is an apocalyptic number.

10020200012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10020200012010 is an abundant number, since it is smaller than the sum of its proper divisors (16032320019450).

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

10020200012010 is a wasteful number, since it uses less digits than its factorization.

10020200012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111335555702 (or 111335555699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020200012010 its reverse (1021000202001), we get a palindrome (11041200214011).

The spelling of 10020200012010 in words is "ten trillion, twenty billion, two hundred million, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 111335555689 222671111378 334006667067 556677778445 668013334134 1002020001201 1113355556890 1670033335335 2004040002402 3340066670670 5010100006005 10020200012010