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211212111201 = 37213110524391
BaseRepresentation
bin1100010010110100111…
…0010000110101100001
3202012011201211221121020
43010231032100311201
511430030300024301
6241010212320053
721155014215600
oct3045516206541
9665151757536
10211212111201
1181635804303
1234b26613029
1316bc01815c0
14a319207a37
155762961436
hex312d390d61

211212111201 has 24 divisors (see below), whose sum is σ = 352793859264. Its totient is φ = 111408585120.

The previous prime is 211212111199. The next prime is 211212111217. The reversal of 211212111201 is 102111212112.

It is a happy number.

It is not a de Polignac number, because 211212111201 - 21 = 211212111199 is a prime.

It is a super-2 number, since 2×2112121112012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211212111251) 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, 55260285 + ... + 55264106.

It is an arithmetic number, because the mean of its divisors is an integer number (14699744136).

Almost surely, 2211212111201 is an apocalyptic number.

211212111201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211212111201 is a deficient number, since it is larger than the sum of its proper divisors (141581748063).

211212111201 is a wasteful number, since it uses less digits than its factorization.

211212111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110524421 (or 110524414 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211212111201 its reverse (102111212112), we get a palindrome (313323323313).

The spelling of 211212111201 in words is "two hundred eleven billion, two hundred twelve million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 110524391 331573173 773670737 1436817083 2321012211 4310451249 5415695159 10057719581 16247085477 30173158743 70404037067 211212111201