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201131476 = 227213193409
BaseRepresentation
bin10111111110100…
…00010111010100
3112000110112111221
423333100113110
5402442201401
631542540124
74661406100
oct1377202724
9460415457
10201131476
11a3596067
1257437644
1332892310
141c9d8900
15129ce7a1
hexbfd05d4

201131476 has 72 divisors (see below), whose sum is σ = 444310440. Its totient is φ = 78962688.

The previous prime is 201131467. The next prime is 201131477. The reversal of 201131476 is 674131102.

It can be written as a sum of positive squares in 4 ways, for example, as 18232900 + 182898576 = 4270^2 + 13524^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 201131476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201131477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491560 + ... + 491968.

Almost surely, 2201131476 is an apocalyptic number.

201131476 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201131476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222155220).

201131476 is an abundant number, since it is smaller than the sum of its proper divisors (243178964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201131476 is a wasteful number, since it uses less digits than its factorization.

201131476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 201131476 is about 14182.0829217714. The cubic root of 201131476 is about 585.9042930979.

Adding to 201131476 its reverse (674131102), we get a palindrome (875262578).

The spelling of 201131476 in words is "two hundred one million, one hundred thirty-one thousand, four hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 193 196 364 386 409 637 772 818 1274 1351 1636 2509 2548 2702 2863 5018 5317 5404 5726 9457 10036 10634 11452 17563 18914 20041 21268 35126 37219 37828 40082 70252 74438 78937 80164 122941 148876 157874 245882 260533 315748 491764 521066 552559 1026181 1042132 1105118 2052362 2210236 3867913 4104724 7183267 7735826 14366534 15471652 28733068 50282869 100565738 201131476