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201112102220004 = 223223230613449981
BaseRepresentation
bin101101101110100100001111…
…011010011011000011100100
3222101002010111012011022010200
4231232210033122123003210
5202330010041132020004
61551421342503350500
760234604242235353
oct5556441732330344
9871063435138120
10201112102220004
11590981887a3358
121a680a58152430
13882aa3643ba81
143793c4051799a
15183b5c2253239
hexb6e90f69b0e4

201112102220004 has 108 divisors (see below), whose sum is σ = 531604366097532. Its totient is φ = 64101732393600.

The previous prime is 201112102219939. The next prime is 201112102220063. The reversal of 201112102220004 is 400022201211102.

It can be written as a sum of positive squares in 2 ways, for example, as 107969722159104 + 93142380060900 = 10390848^2 + 9651030^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56568694 + ... + 60018674.

Almost surely, 2201112102220004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112102220004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265802183048766).

201112102220004 is an abundant number, since it is smaller than the sum of its proper divisors (330492263877528).

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

201112102220004 is a wasteful number, since it uses less digits than its factorization.

201112102220004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453098 (or 3453070 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201112102220004 its reverse (400022201211102), we get a palindrome (601134303431106).

The spelling of 201112102220004 in words is "two hundred one trillion, one hundred twelve billion, one hundred two million, two hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3061 3174 4761 6122 6348 9183 9522 12244 18366 19044 27549 36732 55098 70403 110196 140806 211209 281612 422418 633627 844836 1267254 1619269 2534508 3238538 3449981 4857807 6477076 6899962 9715614 10349943 13799924 14573421 19431228 20699886 29146842 31049829 41399772 58293684 62099658 79349563 124199316 158699126 238048689 317398252 476097378 714146067 952194756 1428292134 1825039949 2856584268 3650079898 5475119847 7300159796 10560391841 10950239694 16425359541 21120783682 21900479388 31681175523 32850719082 42241567364 63362351046 65701438164 95043526569 126724702092 190087053138 242889012343 380174106276 485778024686 728667037029 971556049372 1457334074058 2186001111087 2914668148116 4372002222174 5586447283889 8744004444348 11172894567778 16759341851667 22345789135556 33518683703334 50278025555001 67037367406668 100556051110002 201112102220004