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2001121221 = 311175696269
BaseRepresentation
bin111011101000110…
…1010111111000101
312011110110111020210
41313101222333011
513044241334341
6530322550033
7100406151441
oct16721527705
95143414223
102001121221
11937642aa0
1247a208319
1325b77a7c8
1414daab821
15baa34c16
hex7746afc5

2001121221 has 32 divisors (see below), whose sum is σ = 3087849600. Its totient is φ = 1139271680.

The previous prime is 2001121217. The next prime is 2001121223. The reversal of 2001121221 is 1221211002.

It is a cyclic number.

It is not a de Polignac number, because 2001121221 - 22 = 2001121217 is a prime.

It is a super-2 number, since 2×20011212212 = 8008972282273061682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001121197 and 2001121206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316075 + ... + 322343.

It is an arithmetic number, because the mean of its divisors is an integer number (96495300).

Almost surely, 22001121221 is an apocalyptic number.

It is an amenable number.

2001121221 is a deficient number, since it is larger than the sum of its proper divisors (1086728379).

2001121221 is a wasteful number, since it uses less digits than its factorization.

2001121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2001121221 is about 44733.8934254554. The cubic root of 2001121221 is about 1260.1564475681.

Adding to 2001121221 its reverse (1221211002), we get a palindrome (3222332223).

The spelling of 2001121221 in words is "two billion, one million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 561 569 1707 6259 6269 9673 18777 18807 29019 68959 106403 106573 206877 319209 319719 1172303 3516909 3567061 10701183 39237671 60640037 117713013 181920111 667040407 2001121221