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211142212203 = 31326920126033
BaseRepresentation
bin1100010010100100001…
…1100111101001101011
3202011222212022201012110
43010221003213221223
511424404401242303
6240555234213403
721153205122456
oct3045103475153
9664885281173
10211142212203
11815aa30213a
1234b07124263
1316bab849a50
14a30dc1049d
15575b755703
hex31290e7a6b

211142212203 has 16 divisors (see below), whose sum is σ = 304305634080. Its totient is φ = 129450637824.

The previous prime is 211142212153. The next prime is 211142212271. The reversal of 211142212203 is 302212241112.

It is a happy number.

211142212203 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 211142212203 - 210 = 211142211179 is a prime.

It is a super-2 number, since 2×2111422122032 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211142212203.

It is not an unprimeable number, because it can be changed into a prime (211142212003) 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 15 ways as a sum of consecutive naturals, for example, 10052526 + ... + 10073507.

It is an arithmetic number, because the mean of its divisors is an integer number (19019102130).

Almost surely, 2211142212203 is an apocalyptic number.

211142212203 is a deficient number, since it is larger than the sum of its proper divisors (93163421877).

211142212203 is a wasteful number, since it uses less digits than its factorization.

211142212203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20126318.

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

Adding to 211142212203 its reverse (302212241112), we get a palindrome (513354453315).

The spelling of 211142212203 in words is "two hundred eleven billion, one hundred forty-two million, two hundred twelve thousand, two hundred three".

Divisors: 1 3 13 39 269 807 3497 10491 20126033 60378099 261638429 784915287 5413902877 16241708631 70380737401 211142212203