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211212013201 = 7229439338579
BaseRepresentation
bin1100010010110100110…
…1111000111010010001
3202012011201122222011121
43010231031320322101
511430030233410301
6241010210242241
721155013330100
oct3045515707221
9665151588147
10211212013201
1181635747712
1234b26586381
1316bc0148b07
14a3191c0037
1557629423a1
hex312d378e91

211212013201 has 24 divisors (see below), whose sum is σ = 254747592000. Its totient is φ = 174397464864.

The previous prime is 211212013183. The next prime is 211212013211. The reversal of 211212013201 is 102310212112.

211212013201 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 211212013201 - 29 = 211212012689 is a prime.

It is a super-2 number, since 2×2112120132012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211212013211) 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 23 ways as a sum of consecutive naturals, for example, 454530 + ... + 793108.

It is an arithmetic number, because the mean of its divisors is an integer number (10614483000).

Almost surely, 2211212013201 is an apocalyptic number.

It is an amenable number.

211212013201 is a deficient number, since it is larger than the sum of its proper divisors (43535578799).

211212013201 is a wasteful number, since it uses less digits than its factorization.

211212013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339061 (or 339054 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211212013201 its reverse (102310212112), we get a palindrome (313522225313).

The spelling of 211212013201 in words is "two hundred eleven billion, two hundred twelve million, thirteen thousand, two hundred one".

Divisors: 1 7 29 49 203 439 1421 3073 12731 21511 89117 338579 623819 2370053 9818791 16590371 68731537 148636181 481120759 1040453267 4310449249 7283172869 30173144743 211212013201