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111053116191420 = 2234513193110938191
BaseRepresentation
bin11001010000000010010001…
…100010101011001010111100
3112120012120111121110022020000
4121100002101202223022330
5104023443240221111140
61032105033002354300
732251215513453534
oct3120022142531274
9476176447408200
10111053116191420
11324263a8a39947
1210556a07abb990
1349c7357ab3760
141d5cddc8c84c4
15cc8b2e1b4a30
hex6500918ab2bc

111053116191420 has 960 divisors, whose sum is σ = 408084346306560. Its totient is φ = 25036020172800.

The previous prime is 111053116191323. The next prime is 111053116191421. The reversal of 111053116191420 is 24191611350111.

111053116191420 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 5 + 3 + 1 + 1 + 619 + 14 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111053116191421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13557939525 + ... + 13557947715.

It is an arithmetic number, because the mean of its divisors is an integer number (425087860736).

Almost surely, 2111053116191420 is an apocalyptic number.

111053116191420 is a gapful number since it is divisible by the number (10) 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 111053116191420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204042173153280).

111053116191420 is an abundant number, since it is smaller than the sum of its proper divisors (297031230115140).

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

111053116191420 is a wasteful number, since it uses less digits than its factorization.

111053116191420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 111053116191420 in words is "one hundred eleven trillion, fifty-three billion, one hundred sixteen million, one hundred ninety-one thousand, four hundred twenty".