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211010112201 = 371910922321757
BaseRepresentation
bin1100010010000100101…
…1101100101011001001
3202011122122202100001210
43010201023230223021
511424122042042301
6240534155003333
721150012234330
oct3044113545311
9664578670053
10211010112201
1181541786489
1234a8aa39549
1316b8a377475
14a2da464d17
15574ed5ead6
hex31212ecac9

211010112201 has 64 divisors (see below), whose sum is σ = 343114956800. Its totient is φ = 112670320896.

The previous prime is 211010112149. The next prime is 211010112217. The reversal of 211010112201 is 102211010112.

It is not a de Polignac number, because 211010112201 - 217 = 211009981129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211010112251) 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 63 ways as a sum of consecutive naturals, for example, 9687615 + ... + 9709371.

It is an arithmetic number, because the mean of its divisors is an integer number (5361171200).

Almost surely, 2211010112201 is an apocalyptic number.

211010112201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211010112201 is a deficient number, since it is larger than the sum of its proper divisors (132104844599).

211010112201 is a wasteful number, since it uses less digits than its factorization.

211010112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22118.

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

Adding to 211010112201 its reverse (102211010112), we get a palindrome (313221122313).

The spelling of 211010112201 in words is "two hundred eleven billion, ten million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 7 19 21 57 109 133 223 327 399 669 763 1561 2071 2289 4237 4683 6213 12711 14497 21757 24307 29659 43491 65271 72921 88977 152299 170149 413383 456897 461833 510447 1240149 1385499 2371513 2893681 3232831 4851811 7114539 8681043 9698493 14555433 16600591 33962677 45058747 49801773 92184409 101888031 135176241 276553227 315411229 528847399 645290863 946233687 1586542197 1935872589 3701931793 10048100581 11105795379 30144301743 70336704067 211010112201