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201379005 = 32519317743
BaseRepresentation
bin11000000000011…
…00110010111101
3112000221010001200
430000030302331
5403023112010
631552130113
74663456542
oct1400146275
9460833050
10201379005
11a3745033
1257536939
133294ab99
141ca60bc9
1512a2ccc0
hexc00ccbd

201379005 has 48 divisors (see below), whose sum is σ = 369083520. Its totient is φ = 101291904.

The previous prime is 201379001. The next prime is 201379037. The reversal of 201379005 is 500973102.

It is not a de Polignac number, because 201379005 - 22 = 201379001 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 201379005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201379001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270664 + ... + 271406.

It is an arithmetic number, because the mean of its divisors is an integer number (7689240).

Almost surely, 2201379005 is an apocalyptic number.

It is an amenable number.

201379005 is a deficient number, since it is larger than the sum of its proper divisors (167704515).

201379005 is a wasteful number, since it uses less digits than its factorization.

201379005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 201379005 is about 14190.8070595016. The cubic root of 201379005 is about 586.1445486307.

It can be divided in two parts, 2013 and 79005, that added together give a palindrome (81018).

The spelling of 201379005 in words is "two hundred one million, three hundred seventy-nine thousand, five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 317 743 855 951 1585 2229 2853 3715 4755 6023 6687 11145 14117 14265 18069 30115 33435 42351 54207 70585 90345 127053 211755 235531 271035 635265 706593 1177655 2119779 3532965 4475089 10598895 13425267 22375445 40275801 67126335 201379005