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145274560201 = 113233732
BaseRepresentation
bin1000011101001100001…
…0011101111011001001
3111212222102201022002201
42013103002131323021
54340010241411301
6150423242000201
713332016246561
oct2072302357311
9455872638081
10145274560201
115667977a301
12241a41a6061
1310912582234
147061d5dda1
153ba3d0e201
hex21d309dec9

145274560201 has 9 divisors (see below), whose sum is σ = 146615020149. Its totient is φ = 143946255936.

The previous prime is 145274560199. The next prime is 145274560213. The reversal of 145274560201 is 102065472541.

The square root of 145274560201 is 381149.

It is a perfect power (a square), and thus also a powerful number.

145274560201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 128799801 + 145145760400 = 11349^2 + 380980^2 .

It is not a de Polignac number, because 145274560201 - 21 = 145274560199 is a prime.

It is a super-2 number, since 2×1452745602012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145274560231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43068151 + ... + 43071523.

Almost surely, 2145274560201 is an apocalyptic number.

145274560201 is the 381149-th square number.

145274560201 is the 190575-th centered octagonal number.

It is an amenable number.

145274560201 is a deficient number, since it is larger than the sum of its proper divisors (1340459948).

145274560201 is an frugal number, since it uses more digits than its factorization.

145274560201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 145274560201 in words is "one hundred forty-five billion, two hundred seventy-four million, five hundred sixty thousand, two hundred one".

Divisors: 1 113 3373 12769 381149 11377129 43069837 1285615577 145274560201