Search a number
-
+
211331011144 = 231110922032007
BaseRepresentation
bin1100010011010001001…
…1110101001001001000
3202012111000120200122211
43010310103311021020
511430301214324034
6241030100554504
721160656645631
oct3046423651110
9665430520584
10211331011144
1181696934620
1234b5a3b2a34
1316c0b9b18b6
14a32ad18888
15576d0ead64
hex31344f5248

211331011144 has 32 divisors (see below), whose sum is σ = 436233758400. Its totient is φ = 95178265920.

The previous prime is 211331011141. The next prime is 211331011211. The reversal of 211331011144 is 441110133112.

211331011144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113310111442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (211331011141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11006412 + ... + 11025595.

It is an arithmetic number, because the mean of its divisors is an integer number (13632304950).

Almost surely, 2211331011144 is an apocalyptic number.

It is an amenable number.

211331011144 is an abundant number, since it is smaller than the sum of its proper divisors (224902747256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211331011144 is a wasteful number, since it uses less digits than its factorization.

211331011144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22032133 (or 22032129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 211331011144 its reverse (441110133112), we get a palindrome (652441144256).

The spelling of 211331011144 in words is "two hundred eleven billion, three hundred thirty-one million, eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 109 218 436 872 1199 2398 4796 9592 22032007 44064014 88128028 176256056 242352077 484704154 969408308 1938816616 2401488763 4802977526 9605955052 19211910104 26416376393 52832752786 105665505572 211331011144