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11001000221001 = 3273141690719891
BaseRepresentation
bin1010000000010101111010…
…1101011101100101001001
31102221200111121202011120200
42200011132231131211021
52420220022024033001
635221442325442413
72213540020004460
oct240053655354511
942850447664520
1011001000221001
11356155291383a
121298098870409
1361a50b70a9bb
142a064633d9d7
151412643d1086
hexa015eb5d949

11001000221001 has 96 divisors (see below), whose sum is σ = 19207170318336. Its totient is φ = 5933966688000.

The previous prime is 11001000220993. The next prime is 11001000221021. The reversal of 11001000221001 is 10012200010011.

It is a happy number.

It is not a de Polignac number, because 11001000221001 - 23 = 11001000220993 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 (11001000221021) 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, 553054266 + ... + 553074156.

It is an arithmetic number, because the mean of its divisors is an integer number (200074690816).

Almost surely, 211001000221001 is an apocalyptic number.

It is an amenable number.

11001000221001 is a deficient number, since it is larger than the sum of its proper divisors (8206170097335).

11001000221001 is a wasteful number, since it uses less digits than its factorization.

11001000221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26883 (or 26880 counting only the distinct ones).

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

Adding to 11001000221001 its reverse (10012200010011), we get a palindrome (21013200231012).

The spelling of 11001000221001 in words is "eleven trillion, one billion, two hundred twenty-one thousand, one".

Divisors: 1 3 7 9 21 31 41 63 93 123 217 279 287 369 651 861 1271 1953 2583 3813 6907 8897 11439 19891 20721 26691 48349 59673 62163 80073 139237 145047 179019 214117 283187 417711 435141 616621 642351 815531 849561 1253133 1498819 1849863 1927053 1982309 2446593 2548683 4316347 4496457 5549589 5708717 5946927 7339779 8778797 12949041 13489371 17126151 17840781 25281461 26336391 38847123 51378453 61451579 75844383 79009173 137387137 176970227 184354737 227533149 412161411 530910681 553064211 961709959 1236484233 1592732043 2885129877 4259001247 5632872617 8655389631 12777003741 16898617851 29813008729 38331011223 39430108319 50695853553 89439026187 118290324957 174619051127 268317078561 354870974871 523857153381 1222333357889 1571571460143 3667000073667 11001000221001