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220101122010 = 235711613115541
BaseRepresentation
bin1100110011111100001…
…1001001011111011010
3210001010020002111001210
43030333003021133122
512101231341401020
6245040230523550
721621211445160
oct3147703113732
9701106074053
10220101122010
1185387388730
12367a75065b6
13179a8941203
14a91d9ab230
155ad30173e0
hex333f0c97da

220101122010 has 128 divisors (see below), whose sum is σ = 658738096128. Its totient is φ = 45724896000.

The previous prime is 220101121993. The next prime is 220101122029. The reversal of 220101122010 is 10221101022.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14154840 + ... + 14170380.

It is an arithmetic number, because the mean of its divisors is an integer number (5146391376).

Almost surely, 2220101122010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220101122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329369048064).

220101122010 is an abundant number, since it is smaller than the sum of its proper divisors (438636974118).

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

220101122010 is a wasteful number, since it uses less digits than its factorization.

220101122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21700.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220101122010 its reverse (10221101022), we get a palindrome (230322223032).

The spelling of 220101122010 in words is "two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 6131 12262 15541 18393 30655 31082 36786 42917 46623 61310 67441 77705 85834 91965 93246 108787 128751 134882 155410 170951 183930 202323 214585 217574 233115 257502 326361 337205 341902 404646 429170 466230 472087 512853 543935 643755 652722 674410 854755 944174 1011615 1025706 1087870 1196657 1287510 1416261 1631805 1709510 2023230 2360435 2393314 2564265 2832522 3263610 3589971 4720870 5128530 5983285 7081305 7179942 11966570 14162610 17949855 35899710 95281871 190563742 285845613 476409355 571691226 666973097 952818710 1048100581 1333946194 1429228065 2000919291 2096201162 2858456130 3144301743 3334865485 4001838582 5240502905 6288603486 6669730970 7336704067 10004596455 10481005810 14673408134 15721508715 20009192910 22010112201 31443017430 36683520335 44020224402 73367040670 110050561005 220101122010