Search a number
-
+
1000001121021 = 327157110103777
BaseRepresentation
bin11101000110101001011…
…01100010101011111101
310112121011210112101020100
432203110231202223331
5112341000241333041
62043221050311313
7132150650165220
oct16432455425375
93477153471210
101000001121021
11356109621161
12141982428539
13733b859bb76
14365866595b7
151b02b8d86b6
hexe8d4b62afd

1000001121021 has 24 divisors (see below), whose sum is σ = 1651846457664. Its totient is φ = 571065419520.

The previous prime is 1000001121019. The next prime is 1000001121079. The reversal of 1000001121021 is 1201211000001.

It is a happy number.

It is not a de Polignac number, because 1000001121021 - 21 = 1000001121019 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000001120994 and 1000001121012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000001121521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4952916 + ... + 5150861.

It is an arithmetic number, because the mean of its divisors is an integer number (68826935736).

Almost surely, 21000001121021 is an apocalyptic number.

It is an amenable number.

1000001121021 is a deficient number, since it is larger than the sum of its proper divisors (651845336643).

1000001121021 is a wasteful number, since it uses less digits than its factorization.

1000001121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105361 (or 10105358 counting only the distinct ones).

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

Adding to 1000001121021 its reverse (1201211000001), we get a palindrome (2201212121022).

The spelling of 1000001121021 in words is "one trillion, one million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 63 1571 4713 10997 14139 32991 98973 10103777 30311331 70726439 90933993 212179317 636537951 15873033667 47619101001 111111235669 142857303003 333333707007 1000001121021