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20001112333312 = 2101117965915053
BaseRepresentation
bin1001000110000110111110…
…01100100001110000000000
32121211002100220111220002211
410203003133030201300000
510110144234224131222
6110312214551151504
74133014131503065
oct443033714416000
977732326456084
1020001112333312
116411473536570
1222b0424075594
13b21134892326
144d20b7c8ac6c
1524a41c856277
hex1230df321c00

20001112333312 has 176 divisors, whose sum is σ = 43930630972800. Its totient is φ = 9026306293760.

The previous prime is 20001112333253. The next prime is 20001112333379. The reversal of 20001112333312 is 21333321110002.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×200011123333123 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1328705178 + ... + 1328720230.

It is an arithmetic number, because the mean of its divisors is an integer number (249605857800).

Almost surely, 220001112333312 is an apocalyptic number.

20001112333312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001112333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965315486400).

20001112333312 is an abundant number, since it is smaller than the sum of its proper divisors (23929518639488).

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

20001112333312 is a wasteful number, since it uses less digits than its factorization.

20001112333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15922 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 20001112333312 its reverse (21333321110002), we get a palindrome (41334433443314).

The spelling of 20001112333312 in words is "twenty trillion, one billion, one hundred twelve million, three hundred thirty-three thousand, three hundred twelve".