Search a number
-
+
203131111320 = 2332529167263443
BaseRepresentation
bin1011110100101110001…
…1101100011110011000
3201102022120000121202100
42331023203230132120
511312003031030240
6233152300403400
720450530646304
oct2751343543630
9642276017670
10203131111320
1179169242505
1233450246560
1316202c1ac77
149b8dc96d04
15543d2b5e30
hex2f4b8ec798

203131111320 has 384 divisors, whose sum is σ = 691199308800. Its totient is φ = 51672671232.

The previous prime is 203131111297. The next prime is 203131111343. The reversal of 203131111320 is 23111131302.

203131111320 is a `hidden beast` number, since 2 + 0 + 31 + 311 + 1 + 1 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (203131111297) and next prime (203131111343).

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

It is a junction number, because it is equal to n+sod(n) for n = 203131111293 and 203131111302.

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, 458535019 + ... + 458535461.

It is an arithmetic number, because the mean of its divisors is an integer number (1799998200).

Almost surely, 2203131111320 is an apocalyptic number.

203131111320 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 203131111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345599654400).

203131111320 is an abundant number, since it is smaller than the sum of its proper divisors (488068197480).

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

203131111320 is a wasteful number, since it uses less digits than its factorization.

203131111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 203131111320 its reverse (23111131302), we get a palindrome (226242242622).

The spelling of 203131111320 in words is "two hundred three billion, one hundred thirty-one million, one hundred eleven thousand, three hundred twenty".