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201310011321111 = 327113314643189019
BaseRepresentation
bin101101110001011100100011…
…101101101110101100010111
3222101210001022211001022120100
4231301130203231232230113
5202341230400344233421
61552052313102305143
760255111513652260
oct5561344355565427
9871701284038510
10201310011321111
1159164107282240
121a6b328b5881b3
1388435b6508764
14379d656a3b967
151841806d5bc26
hexb71723b6eb17

201310011321111 has 96 divisors (see below), whose sum is σ = 363707820103680. Its totient is φ = 104237680852800.

The previous prime is 201310011321091. The next prime is 201310011321173. The reversal of 201310011321111 is 111123110013102.

201310011321111 is a `hidden beast` number, since 20 + 1 + 310 + 0 + 1 + 1 + 321 + 1 + 11 = 666.

It is not a de Polignac number, because 201310011321111 - 225 = 201309977766679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201310011326111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1064930760 + ... + 1065119778.

It is an arithmetic number, because the mean of its divisors is an integer number (3788623126080).

Almost surely, 2201310011321111 is an apocalyptic number.

201310011321111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201310011321111 is a deficient number, since it is larger than the sum of its proper divisors (162397808782569).

201310011321111 is a wasteful number, since it uses less digits than its factorization.

201310011321111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194017 (or 194014 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 201310011321111 its reverse (111123110013102), we get a palindrome (312433121334213).

The spelling of 201310011321111 in words is "two hundred one trillion, three hundred ten billion, eleven million, three hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 331 693 993 2317 2979 3641 4643 6951 10923 13929 20853 25487 32501 32769 41787 51073 76461 97503 153219 189019 229383 292509 357511 459657 567057 1072533 1323133 1536833 1701171 2079209 3217599 3969399 4610499 6237627 10757831 11908197 13831497 14554463 16905163 18712881 32273493 43663389 50715489 62565289 96820479 118336141 130990167 152146467 187695867 355008423 437957023 563087601 688218179 877615217 1065025269 1313871069 2064654537 2632845651 3941613207 4817527253 6143306519 6193963611 7898536953 9653767387 14452581759 18429919557 28961302161 43357745277 55289758671 67576371709 86883906483 202729115127 290490636827 608187345381 871471910481 2033434457789 2614415731443 3195397005097 6100303373367 9586191015291 18300910120101 22367779035679 28758573045873 67103337107037 201310011321111