Search a number
-
+
1000121121 = 33231610501
BaseRepresentation
bin111011100111001…
…010001100100001
32120200220102021000
4323213022030201
54022012333441
6243124022213
733532614006
oct7347121441
92520812230
101000121121
114735a688a
1223ab31969
1312c28035c
1496b7d8ad
155cc072b6
hex3b9ca321

1000121121 has 16 divisors (see below), whose sum is σ = 1546081920. Its totient is φ = 637758000.

The previous prime is 1000121117. The next prime is 1000121141. The reversal of 1000121121 is 1211210001.

It is a happy number.

1000121121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000121121 - 22 = 1000121117 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 (1000121141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804630 + ... + 805871.

It is an arithmetic number, because the mean of its divisors is an integer number (96630120).

Almost surely, 21000121121 is an apocalyptic number.

It is an amenable number.

1000121121 is a deficient number, since it is larger than the sum of its proper divisors (545960799).

1000121121 is a wasteful number, since it uses less digits than its factorization.

1000121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610533 (or 1610527 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1000121121 is about 31624.6916348603. The cubic root of 1000121121 is about 1000.0403720367.

Adding to 1000121121 its reverse (1211210001), we get a palindrome (2211331122).

The spelling of 1000121121 in words is "one billion, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 23 27 69 207 621 1610501 4831503 14494509 37041523 43483527 111124569 333373707 1000121121