Search a number
-
+
2201132012121 = 32734938603367
BaseRepresentation
bin100000000001111101101…
…100010001001001011001
321210102111200012201011100
4200001331230101021121
5242030404243341441
64403104110022013
7315012050253660
oct40017554211131
97712450181140
102201132012121
11779549701499
122b67167a7909
1312c748261cb3
147876d043dd7
153c3caa0ccb6
hex2007db11259

2201132012121 has 12 divisors (see below), whose sum is σ = 3633614750272. Its totient is φ = 1257789721176.

The previous prime is 2201132012063. The next prime is 2201132012197. The reversal of 2201132012121 is 1212102311022.

2201132012121 is a `hidden beast` number, since 2 + 201 + 1 + 320 + 121 + 21 = 666.

It is not a de Polignac number, because 2201132012121 - 215 = 2201131979353 is a prime.

It is a super-3 number, since 3×22011320121213 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2201132012094 and 2201132012103.

It is not an unprimeable number, because it can be changed into a prime (2201132012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17469301621 + ... + 17469301746.

Almost surely, 22201132012121 is an apocalyptic number.

2201132012121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2201132012121 is a deficient number, since it is larger than the sum of its proper divisors (1432482738151).

2201132012121 is a wasteful number, since it uses less digits than its factorization.

2201132012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34938603380 (or 34938603377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2201132012121 its reverse (1212102311022), we get a palindrome (3413234323143).

The spelling of 2201132012121 in words is "two trillion, two hundred one billion, one hundred thirty-two million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 34938603367 104815810101 244570223569 314447430303 733710670707 2201132012121