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120444303051553 = 1321265356325629
BaseRepresentation
bin11011011000101100011111…
…111001100000101100100001
3120210110100210120100121110111
4123120230133321200230201
5111241324413040122203
61104055203213131321
734240546052621605
oct3330543771405441
9523410716317414
10120444303051553
11354171621069a8
1211612ab5489b41
135228b06467a00
1421a576d0bd505
15ddd0756be26d
hex6d8b1fe60b21

120444303051553 has 12 divisors (see below), whose sum is σ = 130432247529660. Its totient is φ = 111170567891136.

The previous prime is 120444303051551. The next prime is 120444303051623. The reversal of 120444303051553 is 355150303444021.

It can be written as a sum of positive squares in 6 ways, for example, as 18480515416609 + 101963787634944 = 4298897^2 + 10097712^2 .

It is not a de Polignac number, because 120444303051553 - 21 = 120444303051551 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120444303051551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26024458 + ... + 30301171.

It is an arithmetic number, because the mean of its divisors is an integer number (10869353960805).

Almost surely, 2120444303051553 is an apocalyptic number.

120444303051553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120444303051553 is a deficient number, since it is larger than the sum of its proper divisors (9987944478107).

120444303051553 is a wasteful number, since it uses less digits than its factorization.

120444303051553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56338308 (or 56338295 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 120444303051553 its reverse (355150303444021), we get a palindrome (475594606495574).

The spelling of 120444303051553 in words is "one hundred twenty trillion, four hundred forty-four billion, three hundred three million, fifty-one thousand, five hundred fifty-three".

Divisors: 1 13 169 12653 164489 2138357 56325629 732233177 9519031301 712688183737 9264946388581 120444303051553