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220022002210120 = 235111947559966411
BaseRepresentation
bin110010000001101111011101…
…010010001101010101001000
31001212000220020122010122102021
4302001233131102031111020
5212314320030031210440
62055540413515214224
764226031216131545
oct6201573522152510
91055026218118367
10220022002210120
1164118897316510
12208158a3447374
13959cca79b9856
143c4919c039bcc
151a6842583d84a
hexc81bdd48d548

220022002210120 has 128 divisors (see below), whose sum is σ = 580573175961600. Its totient is φ = 74184349996800.

The previous prime is 220022002210103. The next prime is 220022002210121. The reversal of 220022002210120 is 21012200220022.

It is a junction number, because it is equal to n+sod(n) for n = 220022002210094 and 220022002210103.

It is not an unprimeable number, because it can be changed into a prime (220022002210121) 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, 279590286 + ... + 280376125.

It is an arithmetic number, because the mean of its divisors is an integer number (4535727937200).

Almost surely, 2220022002210120 is an apocalyptic number.

220022002210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220022002210120 is an abundant number, since it is smaller than the sum of its proper divisors (360551173751480).

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

220022002210120 is a wasteful number, since it uses less digits than its factorization.

220022002210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559966499 (or 559966495 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220022002210120 its reverse (21012200220022), we get a palindrome (241034202430142).

The spelling of 220022002210120 in words is "two hundred twenty trillion, twenty-two billion, two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 47 55 76 88 94 95 110 152 188 190 209 220 235 376 380 418 440 470 517 760 836 893 940 1034 1045 1672 1786 1880 2068 2090 2585 3572 4136 4180 4465 5170 7144 8360 8930 9823 10340 17860 19646 20680 35720 39292 49115 78584 98230 196460 392920 559966411 1119932822 2239865644 2799832055 4479731288 5599664110 6159630521 10639361809 11199328220 12319261042 21278723618 22398656440 24638522084 26318421317 30798152605 42557447236 49277044168 52636842634 53196809045 61596305210 85114894472 105273685268 106393618090 117032979899 123192610420 131592106585 210547370536 212787236180 234065959798 246385220840 263184213170 289502634487 425574472360 468131919596 500050005023 526368426340 579005268974 585164899495 936263839192 1000100010046 1052736852680 1158010537948 1170329798990 1447513172435 2000200020092 2316021075896 2340659597980 2500250025115 2895026344870 4000400040184 4681319195960 5000500050230 5500550055253 5790052689740 10001000100460 11001100110506 11580105379480 20002000200920 22002200221012 27502750276265 44004400442024 55005500552530 110011001105060 220022002210120