Search a number
-
+
202200212101122 = 23323162802103141
BaseRepresentation
bin101101111110011001100111…
…110100001101100000000010
3222111221011002102212110002000
4231332121213310031200002
5203000322013244213442
61554013254534404430
760406324515514314
oct5576314764154002
9874834072773060
10202200212101122
11594776a0423014
121a817909b00716
1388a9523a75731
1437d07848077b4
151859a58e3ad4c
hexb7e667d0d802

202200212101122 has 32 divisors (see below), whose sum is σ = 468870057048960. Its totient is φ = 64469632843440.

The previous prime is 202200212101031. The next prime is 202200212101133. The reversal of 202200212101122 is 221101212002202.

It is a happy number.

202200212101122 is a `hidden beast` number, since 202 + 200 + 21 + 210 + 11 + 22 = 666.

202200212101122 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 202200212101095 and 202200212101104.

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, 81401050329 + ... + 81401052812.

It is an arithmetic number, because the mean of its divisors is an integer number (14652189282780).

Almost surely, 2202200212101122 is an apocalyptic number.

202200212101122 is an abundant number, since it is smaller than the sum of its proper divisors (266669844947838).

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

202200212101122 is a wasteful number, since it uses less digits than its factorization.

202200212101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162802103175 (or 162802103169 counting only the distinct ones).

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

Adding to 202200212101122 its reverse (221101212002202), we get a palindrome (423301424103324).

The spelling of 202200212101122 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 162802103141 325604206282 488406309423 976812618846 1465218928269 2930437856538 3744448372243 4395656784807 7488896744486 8791313569614 11233345116729 22466690233458 33700035350187 67400070700374 101100106050561 202200212101122