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211243120221 = 37191723307273
BaseRepresentation
bin1100010010111100010…
…0100011011001011101
3202012020220012100222110
43010233010203121131
511430111214321341
6241013241104233
721155541616110
oct3045704433135
9665226170873
10211243120221
11816512638a1
1234b34a88079
1316bc671a933
14a31d39a577
155765539216
hex312f12365d

211243120221 has 32 divisors (see below), whose sum is σ = 339033840640. Its totient is φ = 114290434944.

The previous prime is 211243120171. The next prime is 211243120223. The reversal of 211243120221 is 122021342112.

It is a happy number.

211243120221 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 211243120221 - 27 = 211243120093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211243120223) 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, 533841 + ... + 841113.

It is an arithmetic number, because the mean of its divisors is an integer number (10594807520).

Almost surely, 2211243120221 is an apocalyptic number.

211243120221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211243120221 is a deficient number, since it is larger than the sum of its proper divisors (127790720419).

211243120221 is a wasteful number, since it uses less digits than its factorization.

211243120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309025.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211243120221 its reverse (122021342112), we get a palindrome (333264462333).

The spelling of 211243120221 in words is "two hundred eleven billion, two hundred forty-three million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 19 21 57 133 399 1723 5169 12061 32737 36183 98211 229159 307273 687477 921819 2150911 5838187 6452733 17514561 40867309 122601927 529431379 1588294137 3706019653 10059196201 11118058959 30177588603 70414373407 211243120221