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230311556242581 = 31127110386758799
BaseRepresentation
bin110100010111011110010110…
…011111110101110010010101
31010012110120101100100210102010
4310113132112133311302111
5220141411031344230311
62133455400204134433
766340314031253622
oct6427362637656225
91105416340323363
10230311556242581
116742564531a800
12219b7b0a237419
139b6839576c098
1440c31d2c19349
151b95dead3dda6
hexd177967f5c95

230311556242581 has 48 divisors (see below), whose sum is σ = 345613743820800. Its totient is φ = 136280719898400.

The previous prime is 230311556242567. The next prime is 230311556242693. The reversal of 230311556242581 is 185242655113032.

It is not a de Polignac number, because 230311556242581 - 211 = 230311556240533 is a prime.

It is a super-2 number, since 2×2303115562425812 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230311556242581.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230311556242561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40724781 + ... + 46034018.

It is an arithmetic number, because the mean of its divisors is an integer number (7200286329600).

Almost surely, 2230311556242581 is an apocalyptic number.

It is an amenable number.

230311556242581 is a deficient number, since it is larger than the sum of its proper divisors (115302187578219).

230311556242581 is a wasteful number, since it uses less digits than its factorization.

230311556242581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86758998 (or 86758987 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 230311556242581 in words is "two hundred thirty trillion, three hundred eleven billion, five hundred fifty-six million, two hundred forty-two thousand, five hundred eighty-one".

Divisors: 1 3 11 33 71 103 121 213 309 363 781 1133 2343 3399 7313 8591 12463 21939 25773 37389 80443 241329 884873 2654619 86758799 260276397 954346789 2863040367 6159874729 8936156297 10497814679 18479624187 26808468891 31493444037 67758622019 98297719267 203275866057 294893157801 634467097087 745344842209 1081274911937 1903401291261 2236034526627 3243824735811 6979138067957 20937414203871 76770518747527 230311556242581