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221443214132100 = 223523779252529609
BaseRepresentation
bin110010010110011011000100…
…000111011100001110000100
31002001001202122100002201120010
4302112123010013130032010
5213011111200304211400
62102545335211110220
764433513165140002
oct6226330407341604
91061052570081503
10221443214132100
11646165a3401734
1220a05218442370
13967400c0a813c
143c97ca1881a72
151a903a5d0c450
hexc966c41dc384

221443214132100 has 144 divisors (see below), whose sum is σ = 666354932499200. Its totient is φ = 56728251141120.

The previous prime is 221443214132083. The next prime is 221443214132209. The reversal of 221443214132100 is 1231412344122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 125387905 + ... + 127141704.

Almost surely, 2221443214132100 is an apocalyptic number.

221443214132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221443214132100 is an abundant number, since it is smaller than the sum of its proper divisors (444911718367100).

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

221443214132100 is a wasteful number, since it uses less digits than its factorization.

221443214132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252529742 (or 252529735 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 221443214132100 its reverse (1231412344122), we get a palindrome (222674626476222).

The spelling of 221443214132100 in words is "two hundred twenty-one trillion, four hundred forty-three billion, two hundred fourteen million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 79 100 111 148 150 158 185 222 237 300 316 370 395 444 474 555 740 790 925 948 1110 1185 1580 1850 1975 2220 2370 2775 2923 3700 3950 4740 5550 5846 5925 7900 8769 11100 11692 11850 14615 17538 23700 29230 35076 43845 58460 73075 87690 146150 175380 219225 292300 438450 876900 252529609 505059218 757588827 1010118436 1262648045 1515177654 2525296090 3030355308 3787944135 5050592180 6313240225 7575888270 9343595533 12626480450 15151776540 18687191066 18939720675 19949839111 25252960900 28030786599 37374382132 37879441350 39899678222 46717977665 56061573198 59849517333 75758882700 79799356444 93435955330 99749195555 112123146396 119699034666 140153932995 186871910660 199498391110 233589888325 239398069332 280307865990 299247586665 398996782220 467179776650 498745977775 560615731980 598495173330 700769664975 738144047107 934359553300 997491955550 1196990346660 1401539329950 1476288094214 1496237933325 1994983911100 2214432141321 2803078659900 2952576188428 2992475866650 3690720235535 4428864282642 5984951733300 7381440471070 8857728565284 11072160706605 14762880942140 18453601177675 22144321413210 36907202355350 44288642826420 55360803533025 73814404710700 110721607066050 221443214132100