Search a number
-
+
145205516201 = 1718147190613
BaseRepresentation
bin1000011100111011101…
…1000101011110101001
3111212210121210111112112
42013032323011132221
54334340103004301
6150412334052105
713330220344244
oct2071673053651
9455717714475
10145205516201
1156643801549
122418504a035
13109011898b5
147056b0a25b
153b9cc219bb
hex21ceec57a9

145205516201 has 8 divisors (see below), whose sum is σ = 154596451464. Its totient is φ = 135908962560.

The previous prime is 145205516189. The next prime is 145205516257. The reversal of 145205516201 is 102615502541.

It can be written as a sum of positive squares in 4 ways, for example, as 5303334976 + 139902181225 = 72824^2 + 374035^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 145205516201 - 218 = 145205254057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145205516101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23592230 + ... + 23598383.

It is an arithmetic number, because the mean of its divisors is an integer number (19324556433).

Almost surely, 2145205516201 is an apocalyptic number.

It is an amenable number.

145205516201 is a deficient number, since it is larger than the sum of its proper divisors (9390935263).

145205516201 is a wasteful number, since it uses less digits than its factorization.

145205516201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47190811.

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 145205516201 in words is "one hundred forty-five billion, two hundred five million, five hundred sixteen thousand, two hundred one".

Divisors: 1 17 181 3077 47190613 802240421 8541500953 145205516201