Search a number
-
+
221001211120011 = 37831273018733073
BaseRepresentation
bin110010001111111111011010…
…101011110000100110001011
31001222111111202101110021000220
4302033333122223300212023
5212431340440021320021
62102010315500401123
764356545014416540
oct6217773253604613
91058444671407026
10221001211120011
11644660a6207703
12209536225461a3
13964142b7271ba
143c807310b0bc7
151a83b36b71cc6
hexc8ffdaaf098b

221001211120011 has 64 divisors (see below), whose sum is σ = 343526541754368. Its totient is φ = 123774639625728.

The previous prime is 221001211119979. The next prime is 221001211120021. The reversal of 221001211120011 is 110021112100122.

It is a happy number.

It is not a de Polignac number, because 221001211120011 - 25 = 221001211119979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221001211120021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6682207971 + ... + 6682241043.

It is an arithmetic number, because the mean of its divisors is an integer number (5367602214912).

Almost surely, 2221001211120011 is an apocalyptic number.

221001211120011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221001211120011 is a deficient number, since it is larger than the sum of its proper divisors (122525330634357).

221001211120011 is a wasteful number, since it uses less digits than its factorization.

221001211120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63480.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221001211120011 its reverse (110021112100122), we get a palindrome (331022323220133).

The spelling of 221001211120011 in words is "two hundred twenty-one trillion, one billion, two hundred eleven million, one hundred twenty thousand, eleven".

Divisors: 1 3 7 21 83 127 249 381 581 889 1743 2667 10541 30187 31623 33073 73787 90561 99219 211309 221361 231511 633927 694533 2505521 2745059 3833749 4200271 7516563 8235177 11501247 12600813 17538647 19215413 26836243 29401897 52615941 57646239 80508729 88205691 318201167 348622493 954603501 998374651 1045867479 2227408169 2440357451 2995123953 6682224507 6988622557 7321072353 20965867671 82865096033 126793580677 248595288099 380380742031 580055672231 887555064739 1740167016693 2662665194217 10523867196191 31571601588573 73667070373337 221001211120011