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10133314020 = 2232556296189
BaseRepresentation
bin10010110111111111…
…00001100111100100
3222011012121200120200
421123333201213210
5131223112022040
64353304030500
7506053514364
oct113377414744
928135550520
1010133314020
11432aa9a895
121b69762430
13c564c64cb
146c1b469a4
153e4943630
hex25bfe19e4

10133314020 has 36 divisors (see below), whose sum is σ = 30737719740. Its totient is φ = 2702217024.

The previous prime is 10133314013. The next prime is 10133314021. The reversal of 10133314020 is 2041333101.

It can be written as a sum of positive squares in 2 ways, for example, as 3164737536 + 6968576484 = 56256^2 + 83478^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10133313984 and 10133314002.

It is not an unprimeable number, because it can be changed into a prime (10133314021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28147915 + ... + 28148274.

Almost surely, 210133314020 is an apocalyptic number.

10133314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133314020 is an abundant number, since it is smaller than the sum of its proper divisors (20604405720).

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

10133314020 is a wasteful number, since it uses less digits than its factorization.

10133314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56296204 (or 56296199 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10133314020 its reverse (2041333101), we get a palindrome (12174647121).

The spelling of 10133314020 in words is "ten billion, one hundred thirty-three million, three hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56296189 112592378 168888567 225184756 281480945 337777134 506665701 562961890 675554268 844442835 1013331402 1125923780 1688885670 2026662804 2533328505 3377771340 5066657010 10133314020