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211744201431 = 3783211575747
BaseRepresentation
bin1100010100110011110…
…0000001101011010111
3202020112211001221011210
43011030330001223113
511432123003421211
6241135101032503
721204135005220
oct3051474015327
9666484057153
10211744201431
11818890995a4
1235054855733
1316c76490ba9
14a369b54247
1557945179a6
hex314cf01ad7

211744201431 has 32 divisors (see below), whose sum is σ = 328093452288. Its totient is φ = 118972153440.

The previous prime is 211744201429. The next prime is 211744201447. The reversal of 211744201431 is 134102447112.

211744201431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211744201431 - 21 = 211744201429 is a prime.

It is a super-2 number, since 2×2117442014312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211744201451) 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, 79900 + ... + 655646.

It is an arithmetic number, because the mean of its divisors is an integer number (10252920384).

Almost surely, 2211744201431 is an apocalyptic number.

211744201431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211744201431 is a deficient number, since it is larger than the sum of its proper divisors (116349250857).

211744201431 is a wasteful number, since it uses less digits than its factorization.

211744201431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576051.

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 211744201431 its reverse (134102447112), we get a palindrome (345846648543).

The spelling of 211744201431 in words is "two hundred eleven billion, seven hundred forty-four million, two hundred one thousand, four hundred thirty-one".

Divisors: 1 3 7 21 83 211 249 581 633 1477 1743 4431 17513 52539 122591 367773 575747 1727241 4030229 12090687 47787001 121482617 143361003 334509007 364447851 850378319 1003527021 2551134957 10083057211 30249171633 70581400477 211744201431