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220201013120 = 2751171440543
BaseRepresentation
bin1100110100010100000…
…0001100111110000000
3210001101012001110220112
43031011000030332000
512101432424404440
6245054155530452
721623533504664
oct3150500147600
9701335043815
10220201013120
1185428805370
1236814a59a28
13179c354728a
14a92cd708a4
155adbb99965
hex334500cf80

220201013120 has 128 divisors (see below), whose sum is σ = 582363924480. Its totient is φ = 78945126400.

The previous prime is 220201013119. The next prime is 220201013213. The reversal of 220201013120 is 21310102022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 220201013095 and 220201013104.

It is a congruent number.

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, 279569 + ... + 720111.

It is an arithmetic number, because the mean of its divisors is an integer number (4549718160).

Almost surely, 2220201013120 is an apocalyptic number.

220201013120 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 220201013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291181962240).

220201013120 is an abundant number, since it is smaller than the sum of its proper divisors (362162911360).

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

220201013120 is a wasteful number, since it uses less digits than its factorization.

220201013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440644 (or 440632 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 220201013120 its reverse (21310102022), we get a palindrome (241511115142).

The spelling of 220201013120 in words is "two hundred twenty billion, two hundred one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 71 80 88 110 128 142 160 176 220 284 320 352 355 440 568 640 704 710 781 880 1136 1408 1420 1562 1760 2272 2840 3124 3520 3905 4544 5680 6248 7040 7810 9088 11360 12496 15620 22720 24992 31240 45440 49984 62480 99968 124960 249920 440543 499840 881086 1762172 2202715 3524344 4405430 4845973 7048688 8810860 9691946 14097376 17621720 19383892 24229865 28194752 31278553 35243440 38767784 48459730 56389504 62557106 70486880 77535568 96919460 125114212 140973760 155071136 156392765 193838920 250228424 281947520 310142272 312785530 344064083 387677840 500456848 620284544 625571060 688128166 775355680 1000913696 1251142120 1376256332 1550711360 1720320415 2001827392 2502284240 2752512664 3101422720 3440640830 4003654784 5004568480 5505025328 6881281660 10009136960 11010050656 13762563320 20018273920 22020101312 27525126640 44040202624 55050253280 110100506560 220201013120