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111401333120 = 2757112977951
BaseRepresentation
bin110011111000000001…
…0010111000110000000
3101122112202021002000202
41213300002113012000
53311122220124440
6123102125104332
711022425464520
oct1476002270600
9348482232022
10111401333120
114327716a460
12197100b80a8
13a6749243bc
14556b361680
152d70152615
hex19f0097180

111401333120 has 256 divisors, whose sum is σ = 343487692800. Its totient is φ = 33524736000.

The previous prime is 111401333119. The next prime is 111401333137. The reversal of 111401333120 is 21333104111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111401333092 and 111401333101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1390145 + ... + 1468095.

It is an arithmetic number, because the mean of its divisors is an integer number (1341748800).

Almost surely, 2111401333120 is an apocalyptic number.

111401333120 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 111401333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171743846400).

111401333120 is an abundant number, since it is smaller than the sum of its proper divisors (232086359680).

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

111401333120 is a wasteful number, since it uses less digits than its factorization.

111401333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78017 (or 78005 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 111401333120 its reverse (21333104111), we get a palindrome (132734437231).

The spelling of 111401333120 in words is "one hundred eleven billion, four hundred one million, three hundred thirty-three thousand, one hundred twenty".