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211212311001 = 31273767147163
BaseRepresentation
bin1100010010110100111…
…1000001100111011001
3202012011202020002200020
43010231033001213121
511430030322423001
6241010220501053
721155016010236
oct3045517014731
9665152202606
10211212311001
118163593042a
1234b266aa789
1316bc0221523
14a31925a78d
1557629a0736
hex312d3c19d9

211212311001 has 16 divisors (see below), whose sum is σ = 283911143424. Its totient is φ = 139661447184.

The previous prime is 211212310949. The next prime is 211212311027. The reversal of 211212311001 is 100113212112.

211212311001 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 211212311001 - 210 = 211212309977 is a prime.

It is a super-2 number, since 2×2112123110012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211212312001) 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, 1361646 + ... + 1508808.

It is an arithmetic number, because the mean of its divisors is an integer number (17744446464).

Almost surely, 2211212311001 is an apocalyptic number.

It is an amenable number.

211212311001 is a deficient number, since it is larger than the sum of its proper divisors (72698832423).

211212311001 is a wasteful number, since it uses less digits than its factorization.

211212311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151060.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211212311001 its reverse (100113212112), we get a palindrome (311325523113).

The spelling of 211212311001 in words is "two hundred eleven billion, two hundred twelve million, three hundred eleven thousand, one".

Divisors: 1 3 127 381 3767 11301 147163 441489 478409 1435227 18689701 56069103 554363021 1663089063 70404103667 211212311001