Search a number
-
+
222201121011120 = 243351011018523657
BaseRepresentation
bin110010100001011100111010…
…111000101111010110110000
31002010202012221011121100212000
4302201130322320233112300
5213111020343434323440
62104325441421534000
764542333630254466
oct6241347270572660
91063665834540760
10222201121011120
1164888a6a048639
1220b08095a14300
1396ca625452524
143cc283d660836
151aa4e639ad730
hexca173ae2f5b0

222201121011120 has 160 divisors (see below), whose sum is σ = 772937233583040. Its totient is φ = 58666962585600.

The previous prime is 222201121011101. The next prime is 222201121011127. The reversal of 222201121011120 is 21110121102222.

222201121011120 is a `hidden beast` number, since 222 + 201 + 1 + 210 + 1 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222201121011093 and 222201121011102.

It is not an unprimeable number, because it can be changed into a prime (222201121011127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509043669 + ... + 509479988.

It is an arithmetic number, because the mean of its divisors is an integer number (4830857709894).

Almost surely, 2222201121011120 is an apocalyptic number.

222201121011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222201121011120 is an abundant number, since it is smaller than the sum of its proper divisors (550736112571920).

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

222201121011120 is a wasteful number, since it uses less digits than its factorization.

222201121011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018523780 (or 1018523768 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222201121011120 its reverse (21110121102222), we get a palindrome (243311242113342).

The spelling of 222201121011120 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 101 108 120 135 144 180 202 216 240 270 303 360 404 432 505 540 606 720 808 909 1010 1080 1212 1515 1616 1818 2020 2160 2424 2727 3030 3636 4040 4545 4848 5454 6060 7272 8080 9090 10908 12120 13635 14544 18180 21816 24240 27270 36360 43632 54540 72720 109080 218160 1018523657 2037047314 3055570971 4074094628 5092618285 6111141942 8148189256 9166712913 10185236570 12222283884 15277854855 16296378512 18333425826 20370473140 24444567768 27500138739 30555709710 36666851652 40740946280 45833564565 48889135536 55000277478 61111419420 73333703304 81481892560 91667129130 102870889357 110000554956 122222838840 137500693695 146667406608 183334258260 205741778714 220001109912 244445677680 275001387390 308612668071 366668516520 411483557428 440002219824 514354446785 550002774780 617225336142 733337033040 822967114856 925838004213 1028708893570 1100005549560 1234450672284 1543063340355 1645934229712 1851676008426 2057417787140 2200011099120 2468901344568 2777514012639 3086126680710 3703352016852 4114835574280 4629190021065 4937802689136 5555028025278 6172253361420 7406704033704 8229671148560 9258380042130 11110056050556 12344506722840 13887570063195 14813408067408 18516760084260 22220112101112 24689013445680 27775140126390 37033520168520 44440224202224 55550280252780 74067040337040 111100560505560 222201121011120