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20102220111120 = 2435771168529679
BaseRepresentation
bin1001001001000011010011…
…01100000101110100010000
32122011202100021122011211020
410210201221230011310100
510113323321322023440
6110430455445515440
74143223516440360
oct444415154056420
978152307564736
1020102220111120
116450338209514
122307b40a12b80
13b2a828a469a4
144d6d4a0b29a0
1524cd88e613d0
hex124869b05d10

20102220111120 has 160 divisors (see below), whose sum is σ = 72222383185920. Its totient is φ = 4530077744640.

The previous prime is 20102220111119. The next prime is 20102220111121. The reversal of 20102220111120 is 2111102220102.

It is an interprime number because it is at equal distance from previous prime (20102220111119) and next prime (20102220111121).

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 20102220111120.

It is not an unprimeable number, because it can be changed into a prime (20102220111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84145560 + ... + 84384119.

It is an arithmetic number, because the mean of its divisors is an integer number (451389894912).

Almost surely, 220102220111120 is an apocalyptic number.

20102220111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102220111120 is an abundant number, since it is smaller than the sum of its proper divisors (52120163074800).

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

20102220111120 is a wasteful number, since it uses less digits than its factorization.

20102220111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168529773 (or 168529767 counting only the distinct ones).

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

Adding to 20102220111120 its reverse (2111102220102), we get a palindrome (22213322331222).

The spelling of 20102220111120 in words is "twenty trillion, one hundred two billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 71 80 84 105 112 120 140 142 168 210 213 240 280 284 336 355 420 426 497 560 568 710 840 852 994 1065 1136 1420 1491 1680 1704 1988 2130 2485 2840 2982 3408 3976 4260 4970 5680 5964 7455 7952 8520 9940 11928 14910 17040 19880 23856 29820 39760 59640 119280 168529679 337059358 505589037 674118716 842648395 1011178074 1179707753 1348237432 1685296790 2022356148 2359415506 2527945185 2696474864 3370593580 3539123259 4044712296 4718831012 5055890370 5898538765 6741187160 7078246518 8089424592 9437662024 10111780740 11797077530 11965607209 13482374320 14156493036 17695616295 18875324048 20223561480 23594155060 23931214418 28312986072 35391232590 35896821627 40447122960 47188310120 47862428836 56625972144 59828036045 70782465180 71793643254 83759250463 94376620240 95724857672 119656072090 141564930360 143587286508 167518500926 179484108135 191449715344 239312144180 251277751389 283129860720 287174573016 335037001852 358968216270 418796252315 478624288360 502555502778 574349146032 670074003704 717936432540 837592504630 957248576720 1005111005556 1256388756945 1340148007408 1435872865080 1675185009260 2010222011112 2512777513890 2871745730160 3350370018520 4020444022224 5025555027780 6700740037040 10051110055560 20102220111120