Search a number
-
+
10120203000 = 2332533730391
BaseRepresentation
bin10010110110011011…
…00000101011111000
3222010021221120122100
421123031200223320
5131211232444000
64352115023400
7505534210005
oct113315405370
928107846570
1010120203000
114323655336
121b6529ab60
13c538858cb
146c00d28ac
153e3703a00
hex25b360af8

10120203000 has 192 divisors, whose sum is σ = 35131936320. Its totient is φ = 2625696000.

The previous prime is 10120202977. The next prime is 10120203007. The reversal of 10120203000 is 30202101.

It is a happy number.

10120203000 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 2×101202030002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120203007) 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 47 ways as a sum of consecutive naturals, for example, 317805 + ... + 348195.

It is an arithmetic number, because the mean of its divisors is an integer number (182978835).

Almost surely, 210120203000 is an apocalyptic number.

10120203000 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 10120203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565968160).

10120203000 is an abundant number, since it is smaller than the sum of its proper divisors (25011733320).

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

10120203000 is a wasteful number, since it uses less digits than its factorization.

10120203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30455 (or 30438 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10120203000 its reverse (30202101), we get a palindrome (10150405101).

The spelling of 10120203000 in words is "ten billion, one hundred twenty million, two hundred three thousand".