Search a number
-
+
20220201122100 = 22352771135615031
BaseRepresentation
bin1001001100011111000011…
…11001111011100100110100
32122121000212120201112001120
410212033201321323210310
510122241432441401400
6111001010540223540
74154601301462410
oct446174171734464
978530776645046
1020220201122100
116496380437271
12232698853abb0
13b389ab8687a5
144dc93d219d40
15250e91a52ca0
hex1263e1e7b934

20220201122100 has 144 divisors (see below), whose sum is σ = 67803176318976. Its totient is φ = 4556665008000.

The previous prime is 20220201122063. The next prime is 20220201122111. The reversal of 20220201122100 is 122110202202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20220201122100.

It is a congruent number.

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, 67658416 + ... + 67956615.

It is an arithmetic number, because the mean of its divisors is an integer number (470855391104).

Almost surely, 220220201122100 is an apocalyptic number.

20220201122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220201122100 is an abundant number, since it is smaller than the sum of its proper divisors (47582975196876).

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

20220201122100 is a wasteful number, since it uses less digits than its factorization.

20220201122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135615126 (or 135615119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20220201122100 its reverse (122110202202), we get a palindrome (20342311324302).

The spelling of 20220201122100 in words is "twenty trillion, two hundred twenty billion, two hundred one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 71 75 84 100 105 140 142 150 175 210 213 284 300 350 355 420 426 497 525 700 710 852 994 1050 1065 1420 1491 1775 1988 2100 2130 2485 2982 3550 4260 4970 5325 5964 7100 7455 9940 10650 12425 14910 21300 24850 29820 37275 49700 74550 149100 135615031 271230062 406845093 542460124 678075155 813690186 949305217 1356150310 1627380372 1898610434 2034225465 2712300620 2847915651 3390375775 3797220868 4068450930 4746526085 5695831302 6780751550 8136901860 9493052170 9628667201 10171127325 11391662604 13561503100 14239578255 18986104340 19257334402 20342254650 23732630425 28479156510 28886001603 38514668804 40684509300 47465260850 48143336005 56958313020 57772003206 67400670407 71197891275 94930521700 96286672010 115544006412 134801340814 142395782550 144430008015 192573344020 202202011221 240716680025 269602681628 284791565100 288860016030 337003352035 404404022442 481433360050 577720032060 674006704070 722150040075 808808044884 962866720100 1011010056105 1348013408140 1444300080150 1685016760175 2022020112210 2888600160300 3370033520350 4044040224420 5055050280525 6740067040700 10110100561050 20220201122100