Search a number
-
+
10000022121 = 3229181211681
BaseRepresentation
bin10010101000000110…
…00011101001101001
3221210220210202110200
421110003003221221
5130440001201441
64332143102413
7502544533305
oct112403035151
927726722420
1010000022121
11427182a6a1
121b30ba1a09
13c349c756b
146ac16ad05
153d7db47b6
hex2540c3a69

10000022121 has 24 divisors (see below), whose sum is σ = 15025188360. Its totient is φ = 6401203200.

The previous prime is 10000022101. The next prime is 10000022141. The reversal of 10000022121 is 12122000001.

It is an interprime number because it is at equal distance from previous prime (10000022101) and next prime (10000022141).

It can be written as a sum of positive squares in 4 ways, for example, as 1798184025 + 8201838096 = 42405^2 + 90564^2 .

It is not a de Polignac number, because 10000022121 - 25 = 10000022089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000022101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58600 + ... + 153081.

It is an arithmetic number, because the mean of its divisors is an integer number (626049515).

Almost surely, 210000022121 is an apocalyptic number.

It is an amenable number.

10000022121 is a deficient number, since it is larger than the sum of its proper divisors (5025166239).

10000022121 is a wasteful number, since it uses less digits than its factorization.

10000022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211897 (or 211894 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000022121 its reverse (12122000001), we get a palindrome (22122022122).

The spelling of 10000022121 in words is "ten billion, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 29 87 181 261 543 1629 5249 15747 47241 211681 635043 1905129 6138749 18416247 38314261 55248741 114942783 344828349 1111113569 3333340707 10000022121