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11122334144520 = 23352692017170827
BaseRepresentation
bin1010000111011001111011…
…0001101001100000001000
31110101021200120221010010220
42201312132301221200020
52424212020020111040
635353310232510040
72225363544226644
oct241663661514010
943337616833126
1011122334144520
1135a8a56736395
1212b76bb24b320
13628aa7079b11
142a64768b7c24
151444b65282d0
hexa1d9ec69808

11122334144520 has 128 divisors (see below), whose sum is σ = 33507843868800. Its totient is φ = 2953447612416.

The previous prime is 11122334144507. The next prime is 11122334144521. The reversal of 11122334144520 is 2544143322111.

It is not an unprimeable number, because it can be changed into a prime (11122334144521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 65023347 + ... + 65194173.

It is an arithmetic number, because the mean of its divisors is an integer number (261780030225).

Almost surely, 211122334144520 is an apocalyptic number.

11122334144520 is a gapful number since it is divisible by the number (10) 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 11122334144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753921934400).

11122334144520 is an abundant number, since it is smaller than the sum of its proper divisors (22385509724280).

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

11122334144520 is a wasteful number, since it uses less digits than its factorization.

11122334144520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173127 (or 173123 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 11122334144520 its reverse (2544143322111), we get a palindrome (13666477466631).

The spelling of 11122334144520 in words is "eleven trillion, one hundred twenty-two billion, three hundred thirty-four million, one hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2017 2152 2690 3228 4034 4035 5380 6051 6456 8068 8070 10085 10760 12102 16136 16140 20170 24204 30255 32280 40340 48408 60510 80680 121020 170827 242040 341654 512481 542573 683308 854135 1024962 1085146 1366616 1627719 1708270 2049924 2170292 2562405 2712865 3255438 3416540 4099848 4340584 5124810 5425730 6510876 6833080 8138595 10249620 10851460 13021752 16277190 20499240 21702920 32554380 45952463 65108760 91904926 137857389 183809852 229762315 275714778 344558059 367619704 459524630 551429556 689116118 689286945 919049260 1033674177 1102859112 1378232236 1378573890 1722790295 1838098520 2067348354 2756464472 2757147780 3445580590 4134696708 5168370885 5514295560 6891161180 8269393416 10336741770 13782322360 20673483540 41346967080 92686117871 185372235742 278058353613 370744471484 463430589355 556116707226 741488942968 926861178710 1112233414452 1390291768065 1853722357420 2224466828904 2780583536130 3707444714840 5561167072260 11122334144520