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211212122001 = 3116471604477
BaseRepresentation
bin1100010010110100111…
…0010011011110010001
3202012011201212111102020
43010231032103132101
511430030300401001
6241010212442053
721155014262226
oct3045516233621
9665151774366
10211212122001
1181635811431
1234b26619329
1316bc01864aa
14a31920b94d
155762964736
hex312d393791

211212122001 has 8 divisors (see below), whose sum is σ = 281619046464. Its totient is φ = 140806639440.

The previous prime is 211212121969. The next prime is 211212122021. The reversal of 211212122001 is 100221212112.

211212122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211212122001 - 25 = 211212121969 is a prime.

It is a super-2 number, since 2×2112121220012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211212122021) 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 7 ways as a sum of consecutive naturals, for example, 47175 + ... + 651651.

It is an arithmetic number, because the mean of its divisors is an integer number (35202380808).

Almost surely, 2211212122001 is an apocalyptic number.

It is an amenable number.

211212122001 is a deficient number, since it is larger than the sum of its proper divisors (70406924463).

211212122001 is a wasteful number, since it uses less digits than its factorization.

211212122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720951.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211212122001 its reverse (100221212112), we get a palindrome (311433334113).

The spelling of 211212122001 in words is "two hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, one".

Divisors: 1 3 116471 349413 604477 1813431 70404040667 211212122001