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10041200420 = 2251013495617
BaseRepresentation
bin10010101101000000…
…01000111100100100
3221220210021211110212
421112200020330210
5131031021403140
64340213434552
7503554536536
oct112640107444
927823254425
1010041200420
114292aa5549
121b4293ba58
13c403b4514
146b3809856
153db7ea765
hex256808f24

10041200420 has 24 divisors (see below), whose sum is σ = 21107379384. Its totient is φ = 4012507136.

The previous prime is 10041200369. The next prime is 10041200479. The reversal of 10041200420 is 2400214001.

It can be written as a sum of positive squares in 4 ways, for example, as 1132860964 + 8908339456 = 33658^2 + 94384^2 .

It is a super-3 number, since 3×100412004203 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10041200395 and 10041200404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227549 + ... + 268068.

It is an arithmetic number, because the mean of its divisors is an integer number (879474141).

Almost surely, 210041200420 is an apocalyptic number.

10041200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041200420 is an abundant number, since it is smaller than the sum of its proper divisors (11066178964).

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

10041200420 is a wasteful number, since it uses less digits than its factorization.

10041200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496639 (or 496637 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10041200420 its reverse (2400214001), we get a palindrome (12441414421).

The spelling of 10041200420 in words is "ten billion, forty-one million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1013 2026 4052 5065 10130 20260 495617 991234 1982468 2478085 4956170 9912340 502060021 1004120042 2008240084 2510300105 5020600210 10041200420