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201001100001201 = 321491915035572801
BaseRepresentation
bin101101101100111100110111…
…001010100011111110110001
3222100200111222020220100000200
4231230330313022203332301
5202321200223100014301
61551254344112505413
760223564431033243
oct5554746712437661
9870614866810020
10201001100001201
11590550a6954445
121a66343984b269
138820426408ab6
14378c7101aa093
15183877718bc86
hexb6cf372a3fb1

201001100001201 has 96 divisors (see below), whose sum is σ = 295031716761600. Its totient is φ = 131856974592000.

The previous prime is 201001100001193. The next prime is 201001100001239. The reversal of 201001100001201 is 102100001100102.

It is a happy number.

It is not a de Polignac number, because 201001100001201 - 23 = 201001100001193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201001100001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71760477001 + ... + 71760479801.

It is an arithmetic number, because the mean of its divisors is an integer number (3073247049600).

Almost surely, 2201001100001201 is an apocalyptic number.

It is an amenable number.

201001100001201 is a deficient number, since it is larger than the sum of its proper divisors (94030616760399).

201001100001201 is a wasteful number, since it uses less digits than its factorization.

201001100001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201001100001201 its reverse (102100001100102), we get a palindrome (303101101101303).

The spelling of 201001100001201 in words is "two hundred one trillion, one billion, one hundred million, one thousand, two hundred one".

Divisors: 1 3 9 149 191 447 503 557 573 1341 1509 1671 1719 2801 4527 5013 8403 25209 28459 74947 82993 85377 96073 106387 224841 248979 256131 280171 288219 319161 417349 534991 674523 746937 840513 864657 957483 1252047 1408903 1560157 1604973 2521539 3756141 4226709 4680471 4814919 12680127 14041413 14314877 15851663 41745479 42944631 47554989 53512661 79713659 125236437 128833893 142664967 160537983 209926547 232463393 239140977 269100473 297989987 375709311 481613949 629779641 697390179 717422931 784758971 807301419 893969961 1889338923 2092170537 2354276913 2421904257 2681909883 7062830739 7973386489 23920159467 40095970477 44400508063 71760478401 116929086679 120287911431 133201524189 149888963461 350787260037 360863734293 399604572567 449666890383 1052361780111 1349000671149 22333455555689 67000366667067 201001100001201