Search a number
-
+
200221100121120 = 25351332086714763
BaseRepresentation
bin101101100001100110011011…
…100011001001110000100000
3222020220221122201111221210020
4231201212123203021300200
5202220410303112333440
61545500145324233440
760113332340324601
oct5541463343116040
9866827581457706
10200221100121120
11588843232a0881
121a55823539b880
1387949cbb79810
143762a7815bda8
151823324b3b3d0
hexb6199b8c9c20

200221100121120 has 96 divisors (see below), whose sum is σ = 679211578124352. Its totient is φ = 49285193874432.

The previous prime is 200221100121103. The next prime is 200221100121173. The reversal of 200221100121120 is 21121001122002.

It is a tau number, because it is divible by the number of its divisors (96).

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 200221100121120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16043351142 + ... + 16043363621.

It is an arithmetic number, because the mean of its divisors is an integer number (7075120605462).

Almost surely, 2200221100121120 is an apocalyptic number.

200221100121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200221100121120 is an abundant number, since it is smaller than the sum of its proper divisors (478990478003232).

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

200221100121120 is a wasteful number, since it uses less digits than its factorization.

200221100121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32086714794 (or 32086714786 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200221100121120 its reverse (21121001122002), we get a palindrome (221342101243122).

The spelling of 200221100121120 in words is "two hundred trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 32086714763 64173429526 96260144289 128346859052 160433573815 192520288578 256693718104 320867147630 385040577156 417127291919 481300721445 513387436208 641734295260 770081154312 834254583838 962601442890 1026774872416 1251381875757 1283468590520 1540162308624 1668509167676 1925202885780 2085636459595 2502763751514 2566937181040 3080324617248 3337018335352 3850405771560 4171272919190 5005527503028 5133874362080 6256909378785 6674036670704 7700811543120 8342545838380 10011055006056 12513818757570 13348073341408 15401623086240 16685091676760 20022110012112 25027637515140 33370183353520 40044220024224 50055275030280 66740366707040 100110550060560 200221100121120