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20101133301120 = 273452322737417
BaseRepresentation
bin1001001001000001010001…
…11010001111010110000000
32122011122112112121111210000
410210200220322033112000
510113314110111113440
6110430155543440000
74143154551631164
oct444405072172600
978148475544700
1020101133301120
11644a92a793033
122307898a56000
13b2a6b4833851
144d6c85a08ca4
1524cd23833730
hex124828e8f580

20101133301120 has 640 divisors, whose sum is σ = 74948911899840. Its totient is φ = 5124298899456.

The previous prime is 20101133301043. The next prime is 20101133301131. The reversal of 20101133301120 is 2110333110102.

20101133301120 is a `hidden beast` number, since 201 + 0 + 1 + 13 + 330 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20101133301093 and 20101133301102.

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 79 ways as a sum of consecutive naturals, for example, 2710139652 + ... + 2710147068.

Almost surely, 220101133301120 is an apocalyptic number.

20101133301120 is a gapful number since it is divisible by the number (20) 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 20101133301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37474455949920).

20101133301120 is an abundant number, since it is smaller than the sum of its proper divisors (54847778598720).

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

20101133301120 is a wasteful number, since it uses less digits than its factorization.

20101133301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744 (or 9723 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20101133301120 its reverse (2110333110102), we get a palindrome (22211466411222).

The spelling of 20101133301120 in words is "twenty trillion, one hundred one billion, one hundred thirty-three million, three hundred one thousand, one hundred twenty".