Search a number
-
+
10002031100 = 2252609116421
BaseRepresentation
bin10010101000010101…
…01110000111111100
3221211001120211021022
421110022232013330
5130441004443400
64332254123312
7502600601345
oct112412560774
927731524238
1010002031100
114272982006
121b317b0538
13c3524bac9
146ac5310cc
153d815eb85
hex2542ae1fc

10002031100 has 36 divisors (see below), whose sum is σ = 21709292808. Its totient is φ = 3999912000.

The previous prime is 10002031099. The next prime is 10002031147. The reversal of 10002031100 is 113020001.

10002031100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100020311002 (a number of 21 digits) contains 22 as substring.

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, 600890 + ... + 617310.

Almost surely, 210002031100 is an apocalyptic number.

10002031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002031100 is an abundant number, since it is smaller than the sum of its proper divisors (11707261708).

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

10002031100 is a wasteful number, since it uses less digits than its factorization.

10002031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22526 (or 22519 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10002031100 its reverse (113020001), we get a palindrome (10115051101).

The spelling of 10002031100 in words is "ten billion, two million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6091 12182 16421 24364 30455 32842 60910 65684 82105 121820 152275 164210 304550 328420 410525 609100 821050 1642100 100020311 200040622 400081244 500101555 1000203110 2000406220 2500507775 5001015550 10002031100