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1013120223120 = 243253167677473
BaseRepresentation
bin11101011111000101010…
…10111100011110010000
310120212001002102211001200
432233202222330132100
5113044332234114440
62053230534231200
7133124030544255
oct16574252743620
93525032384050
101013120223120
11360730a547a5
12144423ab5500
13746c9541b85
143706cb4942c
151b548514c30
hexebe2abc790

1013120223120 has 240 divisors, whose sum is σ = 3564575519232. Its totient is φ = 257547755520.

The previous prime is 1013120222999. The next prime is 1013120223127. The reversal of 1013120223120 is 213220213101.

1013120223120 is a `hidden beast` number, since 10 + 1 + 312 + 0 + 223 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1013120223093 and 1013120223102.

It is not an unprimeable number, because it can be changed into a prime (1013120223127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156704 + ... + 1834176.

Almost surely, 21013120223120 is an apocalyptic number.

1013120223120 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 1013120223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782287759616).

1013120223120 is an abundant number, since it is smaller than the sum of its proper divisors (2551455296112).

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

1013120223120 is a wasteful number, since it uses less digits than its factorization.

1013120223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677590 (or 677581 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1013120223120 its reverse (213220213101), we get a palindrome (1226340436221).

The spelling of 1013120223120 in words is "one trillion, thirteen billion, one hundred twenty million, two hundred twenty-three thousand, one hundred twenty".