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11023134242220 = 22325443312144293
BaseRepresentation
bin1010000001101000011000…
…0000000011010110101100
31110000210122011210221121100
42200122012000003112230
52421100334331222340
635235542530403100
72215252354042542
oct240320600032654
943023564727540
1011023134242220
11356a9809a8561
1212a0435430490
1361c628255889
142a1745c09d92
15141b0c684830
hexa06860035ac

11023134242220 has 144 divisors (see below), whose sum is σ = 33523813264032. Its totient is φ = 2931861104640.

The previous prime is 11023134242213. The next prime is 11023134242243. The reversal of 11023134242220 is 2224243132011.

11023134242220 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 3 + 13 + 424 + 2 + 220 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248846394 + ... + 248890686.

It is an arithmetic number, because the mean of its divisors is an integer number (232804258778).

Almost surely, 211023134242220 is an apocalyptic number.

11023134242220 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 11023134242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761906632016).

11023134242220 is an abundant number, since it is smaller than the sum of its proper divisors (22500679021812).

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

11023134242220 is a wasteful number, since it uses less digits than its factorization.

11023134242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47872 (or 47867 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11023134242220 its reverse (2224243132011), we get a palindrome (13247377374231).

The spelling of 11023134242220 in words is "eleven trillion, twenty-three billion, one hundred thirty-four million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443 886 1329 1772 2215 2658 3121 3987 4430 5316 6242 6645 7974 8860 9363 12484 13290 15605 15948 18726 19935 26580 28089 31210 37452 39870 44293 46815 56178 62420 79740 88586 93630 112356 132879 140445 177172 187260 221465 265758 280890 398637 442930 531516 561780 664395 797274 885860 1328790 1382603 1594548 1993185 2657580 2765206 3986370 4147809 5530412 6913015 7972740 8295618 12443427 13826030 16591236 19621799 20739045 24886854 27652060 39243598 41478090 49773708 58865397 62217135 78487196 82956180 98108995 117730794 124434270 138238453 176596191 196217990 235461588 248868540 276476906 294326985 353192382 392435980 414715359 552953812 588653970 691192265 706384764 829430718 882980955 1177307940 1244146077 1382384530 1658861436 1765961910 2073576795 2488292154 2764769060 3531923820 4147153590 4976584308 6220730385 8294307180 12441460770 24882921540 61239634679 122479269358 183718904037 244958538716 306198173395 367437808074 551156712111 612396346790 734875616148 918594520185 1102313424222 1224792693580 1837189040370 2204626848444 2755783560555 3674378080740 5511567121110 11023134242220