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1113321120120 = 23335113143229307
BaseRepresentation
bin10000001100110111000…
…111000010000101111000
310221102200021002210012000
4100030313013002011320
5121220040201320440
62211241435221000
7143302064244306
oct20146707020570
93842607083160
101113321120120
1139a17a825780
1215b928ba7760
1380ca7860c81
143bc56743276
151de601d4730
hex103371c2178

1113321120120 has 1024 divisors, whose sum is σ = 4308885504000. Its totient is φ = 253174118400.

The previous prime is 1113321120103. The next prime is 1113321120127. The reversal of 1113321120120 is 210211233111.

1113321120120 is a `hidden beast` number, since 111 + 332 + 1 + 1 + 201 + 20 = 666.

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 = 1113321120093 and 1113321120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113321120127) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 3626453007 + ... + 3626453313.

It is an arithmetic number, because the mean of its divisors is an integer number (4207896000).

Almost surely, 21113321120120 is an apocalyptic number.

1113321120120 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 1113321120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154442752000).

1113321120120 is an abundant number, since it is smaller than the sum of its proper divisors (3195564383880).

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

1113321120120 is a wasteful number, since it uses less digits than its factorization.

1113321120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1113321120120 its reverse (210211233111), we get a palindrome (1323532353231).

The spelling of 1113321120120 in words is "one trillion, one hundred thirteen billion, three hundred twenty-one million, one hundred twenty thousand, one hundred twenty".