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233231200131140 = 225149316481473929
BaseRepresentation
bin110101000001111101011110…
…110101011001100001000100
31010120210200111100102122210122
4311001331132311121201010
5221032224444213144030
62144012533441241112
7100061253363656441
oct6501753665314104
91116720440378718
10233231200131140
1168350884170622
12221a9929033198
13a01a7b9451343
1441846439589c8
151be6d2abbe8e5
hexd41f5ed59844

233231200131140 has 48 divisors (see below), whose sum is σ = 490144347186480. Its totient is φ = 93224139939840.

The previous prime is 233231200131133. The next prime is 233231200131187. The reversal of 233231200131140 is 41131002132332.

It is a happy number.

233231200131140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8047082480644 + 225184117650496 = 2836738^2 + 15006136^2 .

It is a super-2 number, since 2×2332312001311402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491885696 + ... + 492359624.

It is an arithmetic number, because the mean of its divisors is an integer number (10211340566385).

Almost surely, 2233231200131140 is an apocalyptic number.

233231200131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233231200131140 is an abundant number, since it is smaller than the sum of its proper divisors (256913147055340).

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

233231200131140 is a wasteful number, since it uses less digits than its factorization.

233231200131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491912 (or 491910 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 233231200131140 its reverse (41131002132332), we get a palindrome (274362202263472).

The spelling of 233231200131140 in words is "two hundred thirty-three trillion, two hundred thirty-one billion, two hundred million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1493 2986 5972 7465 14930 16481 29860 32962 65924 82405 164810 329620 473929 947858 1895716 2369645 4739290 9478580 24606133 49212266 98424532 123030665 246061330 492122660 707575997 1415151994 2830303988 3537879985 7075759970 7810823849 14151519940 15621647698 31243295396 39054119245 78108238490 156216476980 11661560006557 23323120013114 46646240026228 58307800032785 116615600065570 233231200131140