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233131142130 = 23510176940971
BaseRepresentation
bin1101100100011110110…
…0101110101111110010
3211021202022101002101120
43121013230232233302
512304423033022010
6255033213243110
722562131004055
oct3310754565762
9737668332346
10233131142130
118a9634a76a7
1239223193496
1318ca42c40a3
14b3d830ca9c
1560e6de8e70
hex3647b2ebf2

233131142130 has 32 divisors (see below), whose sum is σ = 565054498368. Its totient is φ = 61552776000.

The previous prime is 233131142011. The next prime is 233131142131. The reversal of 233131142130 is 31241131332.

233131142130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 233131142130.

It is not an unprimeable number, because it can be changed into a prime (233131142131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38467456 + ... + 38473515.

It is an arithmetic number, because the mean of its divisors is an integer number (17657953074).

Almost surely, 2233131142130 is an apocalyptic number.

233131142130 is an abundant number, since it is smaller than the sum of its proper divisors (331923356238).

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

233131142130 is a wasteful number, since it uses less digits than its factorization.

233131142130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76941082.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 233131142130 its reverse (31241131332), we get a palindrome (264372273462).

The spelling of 233131142130 in words is "two hundred thirty-three billion, one hundred thirty-one million, one hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 1010 1515 3030 76940971 153881942 230822913 384704855 461645826 769409710 1154114565 2308229130 7771038071 15542076142 23313114213 38855190355 46626228426 77710380710 116565571065 233131142130