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221213342130 = 235118918114159
BaseRepresentation
bin1100111000000101010…
…1111011100110110010
3210010222201221010020120
43032001111323212302
512111021103422010
6245342441351110
721660605245344
oct3160125734662
9703881833216
10221213342130
11858a818a110
1236a57a98496
1317b251b0121
14a9c75ab294
155b4a9b3e70
hex338157b9b2

221213342130 has 128 divisors (see below), whose sum is σ = 586148659200. Its totient is φ = 52982899200.

The previous prime is 221213342123. The next prime is 221213342173. The reversal of 221213342130 is 31243312122.

It is a self number, because there is not a number n which added to its sum of digits gives 221213342130.

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, 53186991 + ... + 53191149.

It is an arithmetic number, because the mean of its divisors is an integer number (4579286400).

Almost surely, 2221213342130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221213342130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293074329600).

221213342130 is an abundant number, since it is smaller than the sum of its proper divisors (364935317070).

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

221213342130 is a wasteful number, since it uses less digits than its factorization.

221213342130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221213342130 its reverse (31243312122), we get a palindrome (252456654252).

The spelling of 221213342130 in words is "two hundred twenty-one billion, two hundred thirteen million, three hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 165 178 267 330 445 534 890 979 1335 1811 1958 2670 2937 3622 4159 4895 5433 5874 8318 9055 9790 10866 12477 14685 18110 19921 20795 24954 27165 29370 39842 41590 45749 54330 59763 62385 91498 99605 119526 124770 137247 161179 199210 228745 274494 298815 322358 370151 457490 483537 597630 686235 740302 805895 967074 1110453 1372470 1611790 1772969 1850755 2220906 2417685 3545938 3701510 4071661 4835370 5318907 5552265 7531949 8143322 8864845 10637814 11104530 12214983 15063898 17729690 20358305 22595847 24429966 26594535 37659745 40716610 45191694 53189070 61074915 75319490 82851439 112979235 122149830 165702878 225958470 248554317 414257195 497108634 670343461 828514390 1242771585 1340686922 2011030383 2485543170 3351717305 4022060766 6703434610 7373778071 10055151915 14747556142 20110303830 22121334213 36868890355 44242668426 73737780710 110606671065 221213342130