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1110121101320 = 2357211238272707
BaseRepresentation
bin10000001001111000010…
…111111011100000001000
310221010102020200222122012
4100021320113323200020
5121142012000220240
62205552123515052
7143126556445400
oct20117027734010
93833366628565
101110121101320
1139888846a240
1215b195388a88
13808b78b6a1a
143ba31751800
151dd242d0b65
hex102785fb808

1110121101320 has 384 divisors, whose sum is σ = 3312751426560. Its totient is φ = 330445463040.

The previous prime is 1110121101211. The next prime is 1110121101329. The reversal of 1110121101320 is 231011210111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1110121101295 and 1110121101304.

It is not an unprimeable number, because it can be changed into a prime (1110121101329) 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 95 ways as a sum of consecutive naturals, for example, 410091407 + ... + 410094113.

It is an arithmetic number, because the mean of its divisors is an integer number (8626956840).

Almost surely, 21110121101320 is an apocalyptic number.

1110121101320 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 1110121101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656375713280).

1110121101320 is an abundant number, since it is smaller than the sum of its proper divisors (2202630325240).

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

1110121101320 is a wasteful number, since it uses less digits than its factorization.

1110121101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1110121101320 its reverse (231011210111), we get a palindrome (1341132311431).

The spelling of 1110121101320 in words is "one trillion, one hundred ten billion, one hundred twenty-one million, one hundred one thousand, three hundred twenty".