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11122132321020 = 2235757731458701
BaseRepresentation
bin1010000111011001001010…
…1111110000001011111100
31110101021011112011102100110
42201312102233300023330
52424211111333233040
635353234223030020
72225355543606150
oct241662257601374
943337145142313
1011122132321020
1135a8962818406
1212b766373b310
13628a74304826
142a6457b7d060
151444a395d980
hexa1d92bf02fc

11122132321020 has 96 divisors (see below), whose sum is σ = 35591517513216. Its totient is φ = 2542152096000.

The previous prime is 11122132320983. The next prime is 11122132321081. The reversal of 11122132321020 is 2012323122111.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24017670 + ... + 24476370.

It is an arithmetic number, because the mean of its divisors is an integer number (370744974096).

Almost surely, 211122132321020 is an apocalyptic number.

11122132321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122132321020 is an abundant number, since it is smaller than the sum of its proper divisors (24469385192196).

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

11122132321020 is a wasteful number, since it uses less digits than its factorization.

11122132321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516451 (or 516449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11122132321020 its reverse (2012323122111), we get a palindrome (13134455443131).

The spelling of 11122132321020 in words is "eleven trillion, one hundred twenty-two billion, one hundred thirty-two million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 57731 115462 173193 230924 288655 346386 404117 458701 577310 692772 808234 865965 917402 1154620 1212351 1376103 1616468 1731930 1834804 2020585 2293505 2424702 2752206 3210907 3463860 4041170 4587010 4849404 5504412 6061755 6421814 6880515 8082340 9174020 9632721 12123510 12843628 13761030 16054535 19265442 24247020 27522060 32109070 38530884 48163605 64218140 96327210 192654420 26481267431 52962534862 79443802293 105925069724 132406337155 158887604586 185368872017 264812674310 317775209172 370737744034 397219011465 529625348620 556106616051 741475488068 794438022930 926844360085 1112213232102 1588876045860 1853688720170 2224426464204 2780533080255 3707377440340 5561066160510 11122132321020