Search a number
-
+
10023310100 = 2252163614927
BaseRepresentation
bin10010101010110111…
…11001001100010100
3221212112121220120102
421111123321030110
5131011431410400
64334334153232
7503246505266
oct112533711424
927775556512
1010023310100
114283996261
121b38952818
13c3978c42b
146b12adb36
153d9e649d5
hex2556f9314

10023310100 has 36 divisors (see below), whose sum is σ = 21884057664. Its totient is φ = 3984720480.

The previous prime is 10023310091. The next prime is 10023310111. The reversal of 10023310100 is 101332001.

10023310100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291164 + ... + 323763.

Almost surely, 210023310100 is an apocalyptic number.

10023310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023310100 is an abundant number, since it is smaller than the sum of its proper divisors (11860747564).

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

10023310100 is a wasteful number, since it uses less digits than its factorization.

10023310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615104 (or 615097 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10023310100 its reverse (101332001), we get a palindrome (10124642101).

The spelling of 10023310100 in words is "ten billion, twenty-three million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 8150 16300 614927 1229854 2459708 3074635 6149270 12298540 15373175 30746350 61492700 100233101 200466202 400932404 501165505 1002331010 2004662020 2505827525 5011655050 10023310100