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211332103311 = 3743234033337
BaseRepresentation
bin1100010011010001011…
…1111111110010001111
3202012111002122011211110
43010310113333302033
511430302004301221
6241030140223103
721161002145040
oct3046427776217
9665432564743
10211332103311
118169751013a
1234b5a83aa93
1316c0bca4a54
14a32b1208c7
15576d264776
hex31345ffc8f

211332103311 has 16 divisors (see below), whose sum is σ = 329518939904. Its totient is φ = 117952801344.

The previous prime is 211332103309. The next prime is 211332103319. The reversal of 211332103311 is 113301233112.

It is a happy number.

It is not a de Polignac number, because 211332103311 - 21 = 211332103309 is a prime.

It is a super-2 number, since 2×2113321033112 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211332103319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117015766 + ... + 117017571.

It is an arithmetic number, because the mean of its divisors is an integer number (20594933744).

Almost surely, 2211332103311 is an apocalyptic number.

211332103311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211332103311 is a deficient number, since it is larger than the sum of its proper divisors (118186836593).

211332103311 is a wasteful number, since it uses less digits than its factorization.

211332103311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234033390.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 211332103311 its reverse (113301233112), we get a palindrome (324633336423).

The spelling of 211332103311 in words is "two hundred eleven billion, three hundred thirty-two million, one hundred three thousand, three hundred eleven".

Divisors: 1 3 7 21 43 129 301 903 234033337 702100011 1638233359 4914700077 10063433491 30190300473 70444034437 211332103311