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10032053020 = 22511411112201
BaseRepresentation
bin10010101011111010…
…01111101100011100
3221220011002002121021
421111331033230130
5131021201144040
64335245413524
7503414020663
oct112575175434
927804062537
1010032053020
114288917a10
121b3b86a2a4
13c3b530a62
146b2507dda
153daae024a
hex255f4fb1c

10032053020 has 48 divisors (see below), whose sum is σ = 23543091936. Its totient is φ = 3559040000.

The previous prime is 10032052981. The next prime is 10032053021. The reversal of 10032053020 is 2035023001.

It is a super-2 number, since 2×100320530202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10032052985 and 10032053003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032053021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547081 + ... + 565120.

It is an arithmetic number, because the mean of its divisors is an integer number (490481082).

Almost surely, 210032053020 is an apocalyptic number.

10032053020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032053020 is an abundant number, since it is smaller than the sum of its proper divisors (13511038916).

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

10032053020 is a wasteful number, since it uses less digits than its factorization.

10032053020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112262 (or 1112260 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 10032053020 its reverse (2035023001), we get a palindrome (12067076021).

The spelling of 10032053020 in words is "ten billion, thirty-two million, fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 1112201 2224402 4448804 5561005 11122010 12234211 22244020 24468422 45600241 48936844 61171055 91200482 122342110 182400964 228001205 244684220 456002410 501602651 912004820 1003205302 2006410604 2508013255 5016026510 10032053020