Search a number
-
+
10122130200 = 23352713892083
BaseRepresentation
bin10010110110101001…
…10111001100011000
3222010102120111021010
421123110313030120
5131212231131300
64352224213520
7505556454450
oct113324671430
928112514233
1010122130200
114324751266
121b65a6a2a0
13c540abb70
146c0474d60
153e3984a50
hex25b537318

10122130200 has 384 divisors, whose sum is σ = 39072499200. Its totient is φ = 2110648320.

The previous prime is 10122130189. The next prime is 10122130201. The reversal of 10122130200 is 203122101.

10122130200 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122130201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4858359 + ... + 4860441.

It is an arithmetic number, because the mean of its divisors is an integer number (101751300).

Almost surely, 210122130200 is an apocalyptic number.

10122130200 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 10122130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19536249600).

10122130200 is an abundant number, since it is smaller than the sum of its proper divisors (28950369000).

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

10122130200 is a wasteful number, since it uses less digits than its factorization.

10122130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10122130200 its reverse (203122101), we get a palindrome (10325252301).

The spelling of 10122130200 in words is "ten billion, one hundred twenty-two million, one hundred thirty thousand, two hundred".