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220201311120 = 24357317413477
BaseRepresentation
bin1100110100010100000…
…1010101101110010000
3210001101012121121200120
43031011001111232100
512101433013423440
6245054210150240
721623536155540
oct3150501255620
9701335547616
10220201311120
118542899924a
1236814b82380
13179c361cacb
14a92d00b320
155adbc07dd0
hex3345055b90

220201311120 has 160 divisors (see below), whose sum is σ = 782604695808. Its totient is φ = 50172831744.

The previous prime is 220201311059. The next prime is 220201311133. The reversal of 220201311120 is 21113102022.

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 220201311120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325822 + ... + 739298.

Almost surely, 2220201311120 is an apocalyptic number.

220201311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220201311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391302347904).

220201311120 is an abundant number, since it is smaller than the sum of its proper divisors (562403384688).

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

220201311120 is a wasteful number, since it uses less digits than its factorization.

220201311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413817 (or 413811 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 220201311120 its reverse (21113102022), we get a palindrome (241314413142).

The spelling of 220201311120 in words is "two hundred twenty billion, two hundred one million, three 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 80 84 105 112 120 140 168 210 240 280 317 336 420 560 634 840 951 1268 1585 1680 1902 2219 2536 3170 3804 4438 4755 5072 6340 6657 7608 8876 9510 11095 12680 13314 15216 17752 19020 22190 25360 26628 33285 35504 38040 44380 53256 66570 76080 88760 106512 133140 177520 266280 413477 532560 826954 1240431 1653908 2067385 2480862 2894339 3307816 4134770 4961724 5788678 6202155 6615632 8269540 8683017 9923448 11577356 12404310 14471695 16539080 17366034 19846896 23154712 24808620 28943390 33078160 34732068 43415085 46309424 49617240 57886780 69464136 86830170 99234480 115773560 131072209 138928272 173660340 231547120 262144418 347320680 393216627 524288836 655361045 694641360 786433254 917505463 1048577672 1310722090 1572866508 1835010926 1966083135 2097155344 2621444180 2752516389 3145733016 3670021852 3932166270 4587527315 5242888360 5505032778 6291466032 7340043704 7864332540 9175054630 10485776720 11010065556 13762581945 14680087408 15728665080 18350109260 22020131112 27525163890 31457330160 36700218520 44040262224 55050327780 73400437040 110100655560 220201311120