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120054450021 = 31167101537611
BaseRepresentation
bin110111111001111001…
…1011000011101100101
3102110212210121221212220
41233303303120131211
53431332414400041
6131052515302553
711450026662552
oct1576363303545
9373783557786
10120054450021
1146a07675240
121b325baaa59
13b42357010c
145b4c67ba29
1531c9b5dd66
hex1bf3cd8765

120054450021 has 32 divisors (see below), whose sum is σ = 178986087936. Its totient is φ = 70964520000.

The previous prime is 120054450013. The next prime is 120054450049.

120054450021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120054450021 - 23 = 120054450013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120054449973 and 120054450000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120054455021) 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 31 ways as a sum of consecutive naturals, for example, 45495 + ... + 492116.

It is an arithmetic number, because the mean of its divisors is an integer number (5593315248).

Almost surely, 2120054450021 is an apocalyptic number.

120054450021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120054450021 is a deficient number, since it is larger than the sum of its proper divisors (58931637915).

120054450021 is a wasteful number, since it uses less digits than its factorization.

120054450021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537793.

The product of its (nonzero) digits is 1600, while the sum is 24.

It can be divided in two parts, 120054 and 450021, that added together give a palindrome (570075).

The spelling of 120054450021 in words is "one hundred twenty billion, fifty-four million, four hundred fifty thousand, twenty-one".

Divisors: 1 3 11 33 67 101 201 303 737 1111 2211 3333 6767 20301 74437 223311 537611 1612833 5913721 17741163 36019937 54298711 108059811 162896133 396219307 597285821 1188657921 1791857463 3638013637 10914040911 40018150007 120054450021