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200231322312112 = 2471323109491111721
BaseRepresentation
bin101101100001101111111100…
…110101101101110110110000
3222020221221001010101001122121
4231201233330311231312300
5202221042222002441422
61545504555525244024
760114143553446650
oct5541577465556660
9866857033331577
10200231322312112
1158888699475203
121a55a208863614
13879596a8c0a40
1437633679dc360
1518237222888c7
hexb61bfcd6ddb0

200231322312112 has 320 divisors, whose sum is σ = 503833972561920. Its totient is φ = 74919682252800.

The previous prime is 200231322312107. The next prime is 200231322312121. The reversal of 200231322312112 is 211213223132002.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1792188412 + ... + 1792300132.

It is an arithmetic number, because the mean of its divisors is an integer number (1574481164256).

Almost surely, 2200231322312112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200231322312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251916986280960).

200231322312112 is an abundant number, since it is smaller than the sum of its proper divisors (303602650249808).

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

200231322312112 is a wasteful number, since it uses less digits than its factorization.

200231322312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112372 (or 112366 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 200231322312112 its reverse (211213223132002), we get a palindrome (411444545444114).

The spelling of 200231322312112 in words is "two hundred trillion, two hundred thirty-one billion, three hundred twenty-two million, three hundred twelve thousand, one hundred twelve".