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22130002323020 = 2252941947982697
BaseRepresentation
bin1010000100000100010101…
…11011010110011001001100
32220100121101220121121211102
411002002022323112121030
510400034221043314040
6115022214400042232
74442561042030654
oct502021273263114
986317356547742
1022130002323020
1170623104242a9
122594b39003378
13c46b090540a7
1456715261d364
152859baed5515
hex14208aed664c

22130002323020 has 96 divisors (see below), whose sum is σ = 49300150495680. Its totient is φ = 8329488527360.

The previous prime is 22130002323017. The next prime is 22130002323029. The reversal of 22130002323020 is 2032320003122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22130002322983 and 22130002323001.

It is not an unprimeable number, because it can be changed into a prime (22130002323029) 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, 22028312 + ... + 23011008.

It is an arithmetic number, because the mean of its divisors is an integer number (513543234330).

Almost surely, 222130002323020 is an apocalyptic number.

22130002323020 is a gapful number since it is divisible by the number (20) 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 22130002323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24650075247840).

22130002323020 is an abundant number, since it is smaller than the sum of its proper divisors (27170148172660).

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

22130002323020 is a wasteful number, since it uses less digits than its factorization.

22130002323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983723 (or 983721 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22130002323020 its reverse (2032320003122), we get a palindrome (24162322326142).

The spelling of 22130002323020 in words is "twenty-two trillion, one hundred thirty billion, two million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 947 1189 1894 2378 3788 4735 4756 5945 9470 11890 18940 23780 27463 38827 54926 77654 109852 137315 155308 194135 274630 388270 549260 776540 982697 1125983 1965394 2251966 3930788 4503932 4913485 5629915 9826970 11259830 19653940 22519660 28498213 40290577 56996426 80581154 113992852 142491065 161162308 201452885 284982130 402905770 569964260 805811540 930614059 1168426733 1861228118 2336853466 3722456236 4653070295 4673706932 5842133665 9306140590 11684267330 18612281180 23368534660 26987807711 38155176419 53975615422 76310352838 107951230844 134939038555 152620705676 190775882095 269878077110 381551764190 539756154220 763103528380 1106500116151 2213000232302 4426000464604 5532500580755 11065001161510 22130002323020