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2112221111130 = 2325132353393401
BaseRepresentation
bin11110101111001010001…
…100000110001101011010
321110221000022122222000100
4132233022030012031122
5234101312101024010
64254201352520230
7305413544132124
oct36571214061532
97427008588010
102112221111130
1174487382a629
122a14426b0076
13124248c74a00
1474336a48214
1539e250b22c0
hex1ebca30635a

2112221111130 has 144 divisors (see below), whose sum is σ = 5963576197176. Its totient is φ = 518457139200.

The previous prime is 2112221111107. The next prime is 2112221111131. The reversal of 2112221111130 is 311111222112.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 282123509409 + 1830097601721 = 531153^2 + 1352811^2 .

It is a super-2 number, since 2×21122211111302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2112221111131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5172430 + ... + 5565830.

Almost surely, 22112221111130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112221111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981788098588).

2112221111130 is an abundant number, since it is smaller than the sum of its proper divisors (3851355086046).

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

2112221111130 is a wasteful number, since it uses less digits than its factorization.

2112221111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393793 (or 393777 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 2112221111130 its reverse (311111222112), we get a palindrome (2423332333242).

The spelling of 2112221111130 in words is "two trillion, one hundred twelve billion, two hundred twenty-one million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 353 390 507 585 706 845 1014 1059 1170 1521 1690 1765 2118 2535 3042 3177 3530 4589 5070 5295 6354 7605 9178 10590 13767 15210 15885 22945 27534 31770 41301 45890 59657 68835 82602 119314 137670 178971 206505 298285 357942 393401 413010 536913 596570 786802 894855 1073826 1180203 1789710 1967005 2360406 2684565 3540609 3934010 5114213 5369130 5901015 7081218 10228426 11802030 15342639 17703045 25571065 30685278 35406090 46027917 51142130 66484769 76713195 92055834 132969538 138870553 153426390 199454307 230139585 277741106 332423845 398908614 416611659 460279170 598362921 664847690 694352765 833223318 997271535 1196725842 1249834977 1388705530 1805317189 1994543070 2083058295 2499669954 2991814605 3610634378 4166116590 5415951567 5983629210 6249174885 9026585945 10831903134 12498349770 16247854701 18053171890 23469123457 27079757835 32495709402 46938246914 54159515670 70407370371 81239273505 117345617285 140814740742 162478547010 211222111113 234691234570 352036851855 422444222226 704073703710 1056110555565 2112221111130