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11133000112332 = 2237139977975941
BaseRepresentation
bin1010001000000001101010…
…0001000101100011001100
31110102022012220211102100210
42202000122201011203030
52424400341012043312
635402232445322420
72226222056402010
oct242003241054314
943368186742323
1011133000112332
11360252a36591a
1212b9797266410
13629ab6a1c287
142a6ba9276540
151448dcad4e3c
hexa201a8458cc

11133000112332 has 96 divisors (see below), whose sum is σ = 29932219215360. Its totient is φ = 3154737761280.

The previous prime is 11133000112319. The next prime is 11133000112379. The reversal of 11133000112332 is 23321100033111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11133000112299 and 11133000112308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10919482 + ... + 11895422.

It is an arithmetic number, because the mean of its divisors is an integer number (311793950160).

Almost surely, 211133000112332 is an apocalyptic number.

11133000112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133000112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966109607680).

11133000112332 is an abundant number, since it is smaller than the sum of its proper divisors (18799219103028).

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

11133000112332 is a wasteful number, since it uses less digits than its factorization.

11133000112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977071 (or 977069 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11133000112332 its reverse (23321100033111), we get a palindrome (34454100145443).

The spelling of 11133000112332 in words is "eleven trillion, one hundred thirty-three billion, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 977 1668 1946 1954 2919 2931 3892 3908 5838 5862 6839 11676 11724 13678 20517 27356 41034 82068 135803 271606 407409 543212 814818 950621 975941 1629636 1901242 1951882 2851863 2927823 3802484 3903764 5703726 5855646 6831587 11407452 11711292 13663174 20494761 27326348 40989522 81979044 135655799 271311598 406967397 542623196 813934794 949590593 953494357 1627869588 1899181186 1906988714 2848771779 2860483071 3798362372 3813977428 5697543558 5720966142 6674460499 11395087116 11441932284 13348920998 20023381497 26697841996 40046762994 80093525988 132535715623 265071431246 397607146869 530142862492 795214293738 927750009361 1590428587476 1855500018722 2783250028083 3711000037444 5566500056166 11133000112332