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1011111220120 = 23525277780503
BaseRepresentation
bin11101011011010101110…
…11001101001110011000
310120122212002010220001011
432231222323031032120
5113031223433020440
62052255330303304
7133023164364541
oct16555273151630
93518762126034
101011111220120
1135a89aa19041
12143b63127b34
13744692649c1
1436d1bdc94c8
151b47be749ea
hexeb6aecd398

1011111220120 has 16 divisors (see below), whose sum is σ = 2275000245360. Its totient is φ = 404444488032.

The previous prime is 1011111220117. The next prime is 1011111220121. The reversal of 1011111220120 is 210221111101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011111220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12638890212 + ... + 12638890291.

It is an arithmetic number, because the mean of its divisors is an integer number (142187515335).

Almost surely, 21011111220120 is an apocalyptic number.

1011111220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011111220120 is an abundant number, since it is smaller than the sum of its proper divisors (1263889025240).

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

1011111220120 is a wasteful number, since it uses less digits than its factorization.

1011111220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25277780514 (or 25277780510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011111220120 its reverse (210221111101), we get a palindrome (1221332331221).

It can be divided in two parts, 101111 and 1220120, that added together give a palindrome (1321231).

The spelling of 1011111220120 in words is "one trillion, eleven billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 25277780503 50555561006 101111122012 126388902515 202222244024 252777805030 505555610060 1011111220120