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2120100241 = 71812935711
BaseRepresentation
bin111111001011110…
…0010100110010001
312110202100020210011
41332113202212101
513320221201431
6550213034521
7103352361160
oct17627424621
95422306704
102120100241
11998817766
124b2025a41
1327a307aac
141617dd3d7
15c61d7cb1
hex7e5e2991

2120100241 has 16 divisors (see below), whose sum is σ = 2445101568. Its totient is φ = 1800705600.

The previous prime is 2120100197. The next prime is 2120100263. The reversal of 2120100241 is 1420010212.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2120100241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2120100271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368376 + ... + 374086.

It is an arithmetic number, because the mean of its divisors is an integer number (152818848).

Almost surely, 22120100241 is an apocalyptic number.

It is an amenable number.

2120100241 is a deficient number, since it is larger than the sum of its proper divisors (325001327).

2120100241 is a wasteful number, since it uses less digits than its factorization.

2120100241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2120100241 is about 46044.5462677177. The cubic root of 2120100241 is about 1284.6519046830.

Adding to 2120100241 its reverse (1420010212), we get a palindrome (3540110453).

The spelling of 2120100241 in words is "two billion, one hundred twenty million, one hundred thousand, two hundred forty-one".

Divisors: 1 7 181 293 1267 2051 5711 39977 53033 371231 1033691 1673323 7235837 11713261 302871463 2120100241