Search a number
-
+
10012031100 = 22325223677219
BaseRepresentation
bin10010101001100001…
…10111100001111100
3221211202101212200200
421110300313201330
5131001034443400
64333252323500
7503051601021
oct112460674174
927752355620
1010012031100
114278592175
121b35013590
13c37340676
146ad9b5548
153d8e87b00
hex254c3787c

10012031100 has 216 divisors, whose sum is σ = 33239955840. Its totient is φ = 2515328640.

The previous prime is 10012031093. The next prime is 10012031177. The reversal of 10012031100 is 113021001.

10012031100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 1383291 + ... + 1390509.

Almost surely, 210012031100 is an apocalyptic number.

10012031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619977920).

10012031100 is an abundant number, since it is smaller than the sum of its proper divisors (23227924740).

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

10012031100 is a wasteful number, since it uses less digits than its factorization.

10012031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10012031100 its reverse (113021001), we get a palindrome (10125052101).

The spelling of 10012031100 in words is "ten billion, twelve million, thirty-one thousand, one hundred".