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201001121211 = 311241101133717
BaseRepresentation
bin1011101100110010011…
…0011011010110111011
3201012211010001220121210
42323030212123112323
511243122241334321
6232201051334203
720343665224512
oct2731446332673
9635733056553
10201001121211
1178275990400
1232b56a51363
1315c5385c7a7
149a2b041679
1553662c7b76
hex2ecc99b5bb

201001121211 has 48 divisors (see below), whose sum is σ = 304755089184. Its totient is φ = 117670080000.

The previous prime is 201001121207. The next prime is 201001121213. The reversal of 201001121211 is 112121100102.

It is not a de Polignac number, because 201001121211 - 22 = 201001121207 is a prime.

It is a super-2 number, since 2×2010011212112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201001121213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1436325 + ... + 1570041.

It is an arithmetic number, because the mean of its divisors is an integer number (6349064358).

Almost surely, 2201001121211 is an apocalyptic number.

201001121211 is a deficient number, since it is larger than the sum of its proper divisors (103753967973).

201001121211 is a wasteful number, since it uses less digits than its factorization.

201001121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133884 (or 133873 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201001121211 its reverse (112121100102), we get a palindrome (313122221313).

The spelling of 201001121211 in words is "two hundred one billion, one million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 11 33 41 101 121 123 303 363 451 1111 1353 3333 4141 4961 12221 12423 14883 36663 45551 133717 136653 401151 501061 1470887 1503183 4412661 5482397 13505417 16179757 16447191 40516251 48539271 60306367 148559587 180919101 445678761 553722097 663370037 1634155457 1661166291 1990110111 4902466371 6090943067 18272829201 67000373737 201001121211