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201012021 = 32729110023
BaseRepresentation
bin10111111101100…
…11001100110101
3112000020110122200
423332303030311
5402424341041
631540215113
74660400610
oct1376631465
9460213580
10201012021
11a3514341
125739a499
133284cb32
141c9a7177
15129a91b6
hexbfb3335

201012021 has 24 divisors (see below), whose sum is σ = 343274880. Its totient is φ = 110902176.

The previous prime is 201011983. The next prime is 201012047. The reversal of 201012021 is 120210102.

It is not a de Polignac number, because 201012021 - 214 = 200995637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201011994 and 201012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012121) 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, 53185 + ... + 56838.

It is an arithmetic number, because the mean of its divisors is an integer number (14303120).

Almost surely, 2201012021 is an apocalyptic number.

201012021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201012021 is a deficient number, since it is larger than the sum of its proper divisors (142262859).

201012021 is a wasteful number, since it uses less digits than its factorization.

201012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110065 (or 110062 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201012021 is about 14177.8708204018. The cubic root of 201012021 is about 585.7882776782.

Adding to 201012021 its reverse (120210102), we get a palindrome (321222123).

It can be divided in two parts, 20101 and 2021, that added together give a palindrome (22122).

The spelling of 201012021 in words is "two hundred one million, twelve thousand, twenty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 110023 330069 770161 990207 2310483 3190667 6931449 9572001 22334669 28716003 67004007 201012021