Search a number
-
+
10032221300 = 2252701143113
BaseRepresentation
bin10010101011111011…
…11000110001110100
3221220011101122102212
421111331320301310
5131021222040200
64335253152552
7503415321413
oct112575706164
927804348385
1010032221300
114288a22392
121b3b92b758
13c3b58c52a
146b254d47a
153dab25035
hex255f78c74

10032221300 has 36 divisors (see below), whose sum is σ = 21801128076. Its totient is φ = 4007136000.

The previous prime is 10032221281. The next prime is 10032221317. The reversal of 10032221300 is 312223001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1053521764 + 8978699536 = 32458^2 + 94756^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1457 + ... + 141656.

It is an arithmetic number, because the mean of its divisors is an integer number (605586891).

Almost surely, 210032221300 is an apocalyptic number.

10032221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032221300 is an abundant number, since it is smaller than the sum of its proper divisors (11768906776).

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

10032221300 is a wasteful number, since it uses less digits than its factorization.

10032221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143828 (or 143821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10032221300 its reverse (312223001), we get a palindrome (10344444301).

The spelling of 10032221300 in words is "ten billion, thirty-two million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 701 1402 2804 3505 7010 14020 17525 35050 70100 143113 286226 572452 715565 1431130 2862260 3577825 7155650 14311300 100322213 200644426 401288852 501611065 1003222130 2006444260 2508055325 5016110650 10032221300