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203233031320 = 235111021452393
BaseRepresentation
bin1011110101000110100…
…0011111010010011000
3201102120122210200201011
42331101220133102120
511312210124000240
6233210341103304
720453206156204
oct2752150372230
9642518720634
10203233031320
1179210825510
123347a3b7b34
131621b084667
149b9d627b04
1554471e96ea
hex2f51a1f498

203233031320 has 64 divisors (see below), whose sum is σ = 499334401440. Its totient is φ = 73830374400.

The previous prime is 203233031317. The next prime is 203233031329. The reversal of 203233031320 is 23130332302.

203233031320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2032330313202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 203233031291 and 203233031300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203233031329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223044 + ... + 675436.

Almost surely, 2203233031320 is an apocalyptic number.

203233031320 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 203233031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249667200720).

203233031320 is an abundant number, since it is smaller than the sum of its proper divisors (296101370120).

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

203233031320 is a wasteful number, since it uses less digits than its factorization.

203233031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453436 (or 453432 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 203233031320 its reverse (23130332302), we get a palindrome (226363363622).

The spelling of 203233031320 in words is "two hundred three billion, two hundred thirty-three million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1021 2042 4084 5105 8168 10210 11231 20420 22462 40840 44924 56155 89848 112310 224620 449240 452393 904786 1809572 2261965 3619144 4523930 4976323 9047860 9952646 18095720 19905292 24881615 39810584 49763230 99526460 199052920 461893253 923786506 1847573012 2309466265 3695146024 4618932530 5080825783 9237865060 10161651566 18475730120 20323303132 25404128915 40646606264 50808257830 101616515660 203233031320