Search a number
-
+
203213101014 = 2327112310915843
BaseRepresentation
bin1011110101000001110…
…0011101011111010110
3201102112021022010110200
42331100130131133112
511312140023213024
6233204350001330
720452544600310
oct2752034353726
9642467263420
10203213101014
1179200552590
12334737a6246
1316216bc6b91
149b9ab1a7b0
1554455ae2c9
hex2f5071d7d6

203213101014 has 192 divisors, whose sum is σ = 573429362688. Its totient is φ = 50432817600.

The previous prime is 203213100989. The next prime is 203213101033. The reversal of 203213101014 is 410101312302.

203213101014 is a `hidden beast` number, since 20 + 321 + 310 + 1 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34775977 + ... + 34781819.

It is an arithmetic number, because the mean of its divisors is an integer number (2986611264).

Almost surely, 2203213101014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203213101014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286714681344).

203213101014 is an abundant number, since it is smaller than the sum of its proper divisors (370216261674).

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

203213101014 is a wasteful number, since it uses less digits than its factorization.

203213101014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 203213101014 its reverse (410101312302), we get a palindrome (613314413316).

The spelling of 203213101014 in words is "two hundred three billion, two hundred thirteen million, one hundred one thousand, fourteen".