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11132032311330 = 2357671440754917
BaseRepresentation
bin1010000111111110000011…
…0101001110000000100010
31110102012201110202000222020
42201333200311032000202
52424341400232430310
635401552434122310
72226156065255520
oct241774065160042
943365643660866
1011132032311330
113602083034687
1212b9567120396
13629991376c68
142a6b1690b310
15144882b64170
hexa1fe0d4e022

11132032311330 has 128 divisors (see below), whose sum is σ = 30992014651392. Its totient is φ = 2506267830528.

The previous prime is 11132032311317. The next prime is 11132032311359. The reversal of 11132032311330 is 3311323023111.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11132032311330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202679032 + ... + 202733948.

It is an arithmetic number, because the mean of its divisors is an integer number (242125114464).

Almost surely, 211132032311330 is an apocalyptic number.

11132032311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132032311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15496007325696).

11132032311330 is an abundant number, since it is smaller than the sum of its proper divisors (19859982340062).

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

11132032311330 is a wasteful number, since it uses less digits than its factorization.

11132032311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69408.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11132032311330 its reverse (3311323023111), we get a palindrome (14443355334441).

The spelling of 11132032311330 in words is "eleven trillion, one hundred thirty-two billion, thirty-two million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1407 2010 2345 2814 4690 7035 14070 14407 28814 43221 54917 72035 86442 100849 109834 144070 164751 201698 216105 274585 302547 329502 384419 432210 504245 549170 605094 768838 823755 965269 1008490 1153257 1512735 1647510 1922095 1930538 2306514 2895807 3025470 3679439 3844190 4826345 5766285 5791614 6756883 7358878 9652690 11038317 11532570 13513766 14479035 18397195 20270649 22076634 25756073 28958070 33784415 36794390 40541298 51512146 55191585 67568830 77268219 101353245 110383170 128780365 154536438 202706490 257560730 386341095 772682190 791189219 1582378438 2373567657 3955946095 4747135314 5538324533 7911892190 11076649066 11867838285 16614973599 23735676570 27691622665 33229947198 53009677673 55383245330 83074867995 106019355346 159029033019 166149735990 265048388365 318058066038 371067743711 530096776730 742135487422 795145165095 1113203231133 1590290330190 1855338718555 2226406462266 3710677437110 5566016155665 11132032311330