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2201201332011 = 32113121115432203
BaseRepresentation
bin100000000010000001110…
…100101100111100101011
321210102200111122112011200
4200002001310230330223
5242031030020111021
64403115023455243
7315013551415533
oct40020164547453
97712614575150
102201201332011
11779584848560
122b6735a57523
1312c759723096
147877832a4c3
153c3d1b52126
hex20081d2cf2b

2201201332011 has 96 divisors (see below), whose sum is σ = 3601383112704. Its totient is φ = 1283492952000.

The previous prime is 2201201331983. The next prime is 2201201332063. The reversal of 2201201332011 is 1102331021022.

2201201332011 is a `hidden beast` number, since 220 + 120 + 1 + 3 + 320 + 1 + 1 = 666.

It is not a de Polignac number, because 2201201332011 - 210 = 2201201330987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2201201332081) 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 95 ways as a sum of consecutive naturals, for example, 999182436 + ... + 999184638.

It is an arithmetic number, because the mean of its divisors is an integer number (37514407424).

Almost surely, 22201201332011 is an apocalyptic number.

2201201332011 is a deficient number, since it is larger than the sum of its proper divisors (1400181780693).

2201201332011 is a wasteful number, since it uses less digits than its factorization.

2201201332011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2201201332011 its reverse (1102331021022), we get a palindrome (3303532353033).

The spelling of 2201201332011 in words is "two trillion, two hundred one billion, two hundred one million, three hundred thirty-two thousand, eleven".

Divisors: 1 3 9 11 31 33 93 99 211 279 341 633 1023 1543 1899 2203 2321 3069 4629 6541 6609 6963 13887 16973 19623 19827 20889 24233 47833 50919 58869 68293 71951 72699 143499 152757 204879 215853 218097 325573 430497 464833 526163 614637 647559 751223 976719 1394499 1578489 2253669 2930157 3399229 3581303 4183497 4735467 5113163 6761007 10092763 10197687 10743909 14409823 15339489 30278289 30593061 32231727 37391519 43229469 46018467 90834867 105376099 111020393 112174557 129688407 158508053 316128297 333061179 336523671 475524159 717237319 948384891 999183537 1159137089 1426572477 2151711957 3477411267 6455135871 7889610509 10432233801 22234356889 23668831527 66703070667 71006494581 200109212001 244577925779 733733777337 2201201332011