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220103333120 = 2851131504269
BaseRepresentation
bin1100110011111100101…
…1100101010100000000
3210001010101020211010202
43030333023211110000
512101232423124440
6245040350144332
721621236314436
oct3147713452400
9701111224122
10220103333120
11853886589a0
12367a81b20a8
13179a9236768
14a91ddc4d56
155ad3302615
hex333f2e5500

220103333120 has 144 divisors (see below), whose sum is σ = 593699258880. Its totient is φ = 77455564800.

The previous prime is 220103333041. The next prime is 220103333141. The reversal of 220103333120 is 21333301022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220103333092 and 220103333101.

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, 184346 + ... + 688614.

It is an arithmetic number, because the mean of its divisors is an integer number (4122911520).

Almost surely, 2220103333120 is an apocalyptic number.

220103333120 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 220103333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296849629440).

220103333120 is an abundant number, since it is smaller than the sum of its proper divisors (373595925760).

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

220103333120 is a wasteful number, since it uses less digits than its factorization.

220103333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504332 (or 504318 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 220103333120 its reverse (21333301022), we get a palindrome (241436634142).

The spelling of 220103333120 in words is "two hundred twenty billion, one hundred three million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 256 310 320 341 352 440 496 620 640 682 704 880 992 1240 1280 1364 1408 1705 1760 1984 2480 2728 2816 3410 3520 3968 4960 5456 6820 7040 7936 9920 10912 13640 14080 19840 21824 27280 39680 43648 54560 87296 109120 218240 436480 504269 1008538 2017076 2521345 4034152 5042690 5546959 8068304 10085380 11093918 15632339 16136608 20170760 22187836 27734795 31264678 32273216 40341520 44375672 55469590 62529356 64546432 78161695 80683040 88751344 110939180 125058712 129092864 156323390 161366080 171955729 177502688 221878360 250117424 312646780 322732160 343911458 355005376 443756720 500234848 625293560 645464320 687822916 710010752 859778645 887513440 1000469696 1250587120 1375645832 1420021504 1719557290 1775026880 2000939392 2501174240 2751291664 3439114580 3550053760 4001878784 5002348480 5502583328 6878229160 7100107520 10004696960 11005166656 13756458320 20009393920 22010333312 27512916640 44020666624 55025833280 110051666560 220103333120