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145220410013 = 729730553421
BaseRepresentation
bin1000011100111111001…
…1111001101010011101
3111212211122211012000012
42013033303321222131
54334402411110023
6150414025213005
713330461055400
oct2071763715235
9455748735005
10145220410013
1156651154488
122418a031165
13109042a2ac3
147058aa5d37
153b9e1b4978
hex21cfcf9a9d

145220410013 has 12 divisors (see below), whose sum is σ = 170671415292. Its totient is φ = 123191389440.

The previous prime is 145220410007. The next prime is 145220410031. The reversal of 145220410013 is 310014022541.

It can be written as a sum of positive squares in 2 ways, for example, as 78063242404 + 67157167609 = 279398^2 + 259147^2 .

It is not a de Polignac number, because 145220410013 - 210 = 145220408989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145220410213) 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 11 ways as a sum of consecutive naturals, for example, 15271958 + ... + 15281463.

It is an arithmetic number, because the mean of its divisors is an integer number (14222617941).

Almost surely, 2145220410013 is an apocalyptic number.

It is an amenable number.

145220410013 is a deficient number, since it is larger than the sum of its proper divisors (25451005279).

145220410013 is an equidigital number, since it uses as much as digits as its factorization.

145220410013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30553532 (or 30553525 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 145220410013 its reverse (310014022541), we get a palindrome (455234432554).

The spelling of 145220410013 in words is "one hundred forty-five billion, two hundred twenty million, four hundred ten thousand, thirteen".

Divisors: 1 7 49 97 679 4753 30553421 213873947 1497117629 2963681837 20745772859 145220410013