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20422324120 = 23511181347739
BaseRepresentation
bin10011000001010000…
…111110111110011000
31221201021012120000211
4103001100332332120
5313311103332440
613214253140504
71322040614362
oct230120767630
957637176024
1020422324120
11872a962420
123b5b48a734
131c06034473
14dba41bd32
157e7d8deea
hex4c143ef98

20422324120 has 128 divisors (see below), whose sum is σ = 50618131200. Its totient is φ = 7354022400.

The previous prime is 20422324103. The next prime is 20422324121. The reversal of 20422324120 is 2142322402.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20422324091 and 20422324100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20422324121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27634711 + ... + 27635449.

It is an arithmetic number, because the mean of its divisors is an integer number (395454150).

Almost surely, 220422324120 is an apocalyptic number.

20422324120 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 20422324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25309065600).

20422324120 is an abundant number, since it is smaller than the sum of its proper divisors (30195807080).

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

20422324120 is a wasteful number, since it uses less digits than its factorization.

20422324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20422324120 its reverse (2142322402), we get a palindrome (22564646522).

The spelling of 20422324120 in words is "twenty billion, four hundred twenty-two million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 181 220 347 362 440 694 724 739 905 1388 1448 1478 1735 1810 1991 2776 2956 3470 3620 3695 3817 3982 5912 6940 7240 7390 7634 7964 8129 9955 13880 14780 15268 15928 16258 19085 19910 29560 30536 32516 38170 39820 40645 62807 65032 76340 79640 81290 125614 133759 152680 162580 251228 256433 267518 314035 325160 502456 512866 535036 628070 668795 690877 1025732 1070072 1256140 1282165 1337590 1381754 1471349 2051464 2512280 2564330 2675180 2763508 2820763 2942698 3454385 5128660 5350360 5527016 5641526 5885396 6908770 7356745 10257320 11283052 11770792 13817540 14103815 14713490 22566104 27635080 28207630 29426980 46414373 56415260 58853960 92828746 112830520 185657492 232071865 371314984 464143730 510558103 928287460 1021116206 1856574920 2042232412 2552790515 4084464824 5105581030 10211162060 20422324120