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2202011001 = 34611373253
BaseRepresentation
bin1000001101000000…
…0000010101111001
312200110110202020000
42003100000111321
514002203323001
61002300423213
7105365533101
oct20320002571
95613422200
102202011001
11a2aa83503
12515547b09
13291286ab8
1416c642201
15cd4b7a86
hex83400579

2202011001 has 40 divisors (see below), whose sum is σ = 3368788104. Its totient is φ = 1432961280.

The previous prime is 2202010973. The next prime is 2202011011. The reversal of 2202011001 is 1001102022.

It can be written as a sum of positive squares in 4 ways, for example, as 491774976 + 1710236025 = 22176^2 + 41355^2 .

It is not a de Polignac number, because 2202011001 - 214 = 2201994617 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2202011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 675291 + ... + 678543.

Almost surely, 22202011001 is an apocalyptic number.

It is an amenable number.

2202011001 is a deficient number, since it is larger than the sum of its proper divisors (1166777103).

2202011001 is a wasteful number, since it uses less digits than its factorization.

2202011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3454 counting only the distinct ones).

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

The square root of 2202011001 is about 46925.5900442392. The cubic root of 2202011001 is about 1300.9876126351.

Adding to 2202011001 its reverse (1001102022), we get a palindrome (3203113023).

The spelling of 2202011001 in words is "two billion, two hundred two million, eleven thousand, one".

Divisors: 1 3 9 27 61 81 137 183 411 549 1233 1647 3253 3699 4941 8357 9759 11097 25071 29277 75213 87831 198433 225639 263493 445661 595299 676917 1336983 1785897 4010949 5357691 12032847 16073073 27185321 36098541 81555963 244667889 734003667 2202011001