Search a number
-
+
203141100000 = 253553718301
BaseRepresentation
bin1011110100110000100…
…1110011000111100000
3201102100020211002122110
42331030021303013200
511312013110200000
6233153254435320
720451011600646
oct2751411630740
9642306732573
10203141100000
1179173945113
1233453662b40
1316205007627
149b91337196
15543e0da850
hex2f4c2731e0

203141100000 has 288 divisors, whose sum is σ = 684565372512. Its totient is φ = 52704000000.

The previous prime is 203141099999. The next prime is 203141100013. The reversal of 203141100000 is 1141302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11090850 + ... + 11109150.

It is an arithmetic number, because the mean of its divisors is an integer number (2376963099).

Almost surely, 2203141100000 is an apocalyptic number.

203141100000 is a gapful number since it is divisible by the number (20) 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 203141100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342282686256).

203141100000 is an abundant number, since it is smaller than the sum of its proper divisors (481424272512).

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

203141100000 is an equidigital number, since it uses as much as digits as its factorization.

203141100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18376 (or 18348 counting only the distinct ones).

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

Adding to 203141100000 its reverse (1141302), we get a palindrome (203142241302).

The spelling of 203141100000 in words is "two hundred three billion, one hundred forty-one million, one hundred thousand".