Search a number
-
+
211832371553 = 11192232319341
BaseRepresentation
bin1100010101001000110…
…0010111100101100001
3202020202221222102211212
43011102030113211201
511432313041342203
6241151530515505
721206255310035
oct3052214274541
9666687872755
10211832371553
1181923940070
123507a295b95
1316c8b821c6a
14a3777461c5
15579c1321d8
hex3152317961

211832371553 has 24 divisors (see below), whose sum is σ = 254496758976. Its totient is φ = 174507141600.

The previous prime is 211832371537. The next prime is 211832371571. The reversal of 211832371553 is 355173238112.

It is not a de Polignac number, because 211832371553 - 24 = 211832371537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211832371553.

It is not an unprimeable number, because it can be changed into a prime (211832371253) 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 23 ways as a sum of consecutive naturals, for example, 1068338 + ... + 1251003.

It is an arithmetic number, because the mean of its divisors is an integer number (10604031624).

Almost surely, 2211832371553 is an apocalyptic number.

211832371553 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211832371553 is a deficient number, since it is larger than the sum of its proper divisors (42664387423).

211832371553 is a wasteful number, since it uses less digits than its factorization.

211832371553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319413 (or 2319394 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

It can be divided in two parts, 211832 and 371553, that added together give a palindrome (583385).

The spelling of 211832371553 in words is "two hundred eleven billion, eight hundred thirty-two million, three hundred seventy-one thousand, five hundred fifty-three".

Divisors: 1 11 19 23 209 253 361 437 3971 4807 8303 91333 2319341 25512751 44067479 53344843 484742269 586793273 837282101 1013552017 9210103111 11149072187 19257488323 211832371553