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201222032230120 = 235112971318748299
BaseRepresentation
bin101101110000001010100111…
…110000001000011011101000
3222101110122020101212102102211
4231300022213300020123220
5202333310210222330440
61551544043033134504
760245545354013566
oct5560124760103350
9871418211772384
10201222032230120
115912a86a389a90
121a69a21755a434
1388382052a1935
1437992ac2bca36
15183e3a8122eea
hexb702a7c086e8

201222032230120 has 128 divisors (see below), whose sum is σ = 494240128704000. Its totient is φ = 73122553785600.

The previous prime is 201222032230103. The next prime is 201222032230201. The reversal of 201222032230120 is 21032230222102.

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 = 201222032230091 and 201222032230100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4166149731 + ... + 4166198029.

It is an arithmetic number, because the mean of its divisors is an integer number (3861251005500).

Almost surely, 2201222032230120 is an apocalyptic number.

201222032230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222032230120 is an abundant number, since it is smaller than the sum of its proper divisors (293018096473880).

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

201222032230120 is a wasteful number, since it uses less digits than its factorization.

201222032230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54479 (or 54475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 201222032230120 its reverse (21032230222102), we get a palindrome (222254262452222).

The spelling of 201222032230120 in words is "two hundred one trillion, two hundred twenty-two billion, thirty-two million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2971 3187 5942 6374 11884 12748 14855 15935 23768 25496 29710 31870 32681 35057 48299 59420 63740 65362 70114 96598 118840 127480 130724 140228 163405 175285 193196 241495 261448 280456 326810 350570 386392 482990 531289 653620 701140 965980 1062578 1307240 1402280 1931960 2125156 2656445 4250312 5312890 9468577 10625780 18937154 21251560 37874308 47342885 75748616 94685770 104154347 143496329 153928913 189371540 208308694 286992658 307857826 378743080 416617388 520771735 573985316 615715652 717481645 769644565 833234776 1041543470 1147970632 1231431304 1434963290 1539289130 1578459619 1693218043 2083086940 2869926580 3078578260 3156919238 3386436086 4166173880 5739853160 6157156520 6313838476 6772872172 7892298095 8466090215 12627676952 13545744344 15784596190 16932180430 31569192380 33864360860 63138384760 67728721720 457322800523 914645601046 1829291202092 2286614002615 3658582404184 4573228005230 5030550805753 9146456010460 10061101611506 18292912020920 20122203223012 25152754028765 40244406446024 50305508057530 100611016115060 201222032230120