Search a number
-
+
233131013320 = 2359739598447
BaseRepresentation
bin1101100100011110110…
…0001111010011001000
3211021202022010112200211
43121013230033103020
512304423014411240
6255033210410504
722562126626402
oct3310754172310
9737668115624
10233131013320
118a963419947
1239223130a34
1318ca427a57a
14b3d82b7b72
1560e6dc0bea
hex3647b0f4c8

233131013320 has 32 divisors (see below), whose sum is σ = 524599516800. Its totient is φ = 93242674368.

The previous prime is 233131013317. The next prime is 233131013347. The reversal of 233131013320 is 23310131332.

233131013320 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 2×2331310133202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233131013291 and 233131013300.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 90337 + ... + 688783.

It is an arithmetic number, because the mean of its divisors is an integer number (16393734900).

Almost surely, 2233131013320 is an apocalyptic number.

233131013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233131013320 is an abundant number, since it is smaller than the sum of its proper divisors (291468503480).

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

233131013320 is a wasteful number, since it uses less digits than its factorization.

233131013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608197 (or 608193 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 233131013320 its reverse (23310131332), we get a palindrome (256441144652).

The spelling of 233131013320 in words is "two hundred thirty-three billion, one hundred thirty-one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 9739 19478 38956 48695 77912 97390 194780 389560 598447 1196894 2393788 2992235 4787576 5984470 11968940 23937880 5828275333 11656550666 23313101332 29141376665 46626202664 58282753330 116565506660 233131013320