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2201012331 = 37232294637
BaseRepresentation
bin1000001100110000…
…1100100001101011
312200101121000022020
42003030030201223
514001424343311
61002223155523
7105354203400
oct20314144153
95611530266
102201012331
11a2a461161
12515145ba3
13290cc737b
1416c4622a7
15cd36bc06
hex8330c86b

2201012331 has 24 divisors (see below), whose sum is σ = 3415608720. Its totient is φ = 1257060672.

The previous prime is 2201012329. The next prime is 2201012339. The reversal of 2201012331 is 1332101022.

It is not a de Polignac number, because 2201012331 - 21 = 2201012329 is a prime.

It is a super-2 number, since 2×22010123312 = 9688910562428107122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2201012331.

It is not an unprimeable number, because it can be changed into a prime (2201012339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472345 + ... + 476981.

It is an arithmetic number, because the mean of its divisors is an integer number (142317030).

Almost surely, 22201012331 is an apocalyptic number.

2201012331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2201012331 is a deficient number, since it is larger than the sum of its proper divisors (1214596389).

2201012331 is a wasteful number, since it uses less digits than its factorization.

2201012331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7883 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2201012331 is about 46914.9478418126. The cubic root of 2201012331 is about 1300.7909055093.

Adding to 2201012331 its reverse (1332101022), we get a palindrome (3533113353).

The spelling of 2201012331 in words is "two billion, two hundred one million, twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 21 49 147 3229 4637 9687 13911 22603 32459 67809 97377 158221 227213 474663 681639 14972873 44918619 104810111 314430333 733670777 2201012331