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11122011001002 = 231110123320693461
BaseRepresentation
bin1010000111011000101110…
…0000111101000010101010
31110101020212001212201120110
42201312023200331002222
52424210334304013002
635353214210435150
72225352541446366
oct241661340750252
943336761781513
1011122011001002
1135a8900294930
1212b762ab92ab6
13628a55137b35
142a64459dc2a6
15144497e96e6c
hexa1d8b83d0aa

11122011001002 has 128 divisors (see below), whose sum is σ = 24630653249280. Its totient is φ = 3320049920000.

The previous prime is 11122011000953. The next prime is 11122011001043. The reversal of 11122011001002 is 20010011022111.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3213523552 + ... + 3213527012.

It is an arithmetic number, because the mean of its divisors is an integer number (192426978510).

Almost surely, 211122011001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122011001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315326624640).

11122011001002 is an abundant number, since it is smaller than the sum of its proper divisors (13508642248278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11122011001002 is a wasteful number, since it uses less digits than its factorization.

11122011001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880.

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

Adding to 11122011001002 its reverse (20010011022111), we get a palindrome (31132022023113).

The spelling of 11122011001002 in words is "eleven trillion, one hundred twenty-two billion, eleven million, one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 101 202 233 303 466 606 699 1111 1398 2069 2222 2563 3333 3461 4138 5126 6207 6666 6922 7689 10383 12414 15378 20766 22759 23533 38071 45518 47066 68277 70599 76142 114213 136554 141198 208969 228426 258863 349561 417938 482077 517726 626907 699122 776589 806413 964154 1048683 1253814 1446231 1553178 1612826 2097366 2298659 2419239 2892462 3845171 4597318 4838478 5302847 6895977 7160809 7690342 8870543 10605694 11535513 13791954 14321618 15908541 17741086 21482427 23071026 26611629 31817082 42964854 48689777 53223258 78768899 81447713 97379554 146069331 157537798 162895426 236306697 244343139 292138662 472613394 488686278 535587547 723241709 895924843 1071175094 1446483418 1606762641 1668468497 1791849686 2169725127 2687774529 3213525282 3336936994 4339450254 5005405491 5375549058 7955658799 10010810982 15911317598 18353153467 23866976397 36706306934 47733952794 55059460401 110118920802 168515318197 337030636394 505545954591 1011091909182 1853668500167 3707337000334 5561005500501 11122011001002