Search a number
-
+
20101001001021 = 322233444555669
BaseRepresentation
bin1001001001000001000010…
…00001100011100000111101
32122011122012022122222011100
410210200201001203200331
510113313322224013041
6110430134500043313
74143151354250463
oct444404101434075
978148168588140
1020101001001021
11644a872040006
122307860693539
13b2a6932c1175
144d6c7220a833
1524cd16ded6b6
hex12482106383d

20101001001021 has 6 divisors (see below), whose sum is σ = 29034779223710. Its totient is φ = 13400667334008.

The previous prime is 20101001001019. The next prime is 20101001001079. The reversal of 20101001001021 is 12010010010102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11810315784996 + 8290685216025 = 3436614^2 + 2879355^2 .

It is not a de Polignac number, because 20101001001021 - 21 = 20101001001019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 2233444555669 = 20101001001021 / (2 + 0 + 1 + 0 + 1 + 0 + 0 + 1 + 0 + 0 + 1 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101001000994 and 20101001001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101001000021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1116722277826 + ... + 1116722277843.

Almost surely, 220101001001021 is an apocalyptic number.

It is an amenable number.

20101001001021 is a deficient number, since it is larger than the sum of its proper divisors (8933778222689).

20101001001021 is a wasteful number, since it uses less digits than its factorization.

20101001001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233444555675 (or 2233444555672 counting only the distinct ones).

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

Adding to 20101001001021 its reverse (12010010010102), we get a palindrome (32111011011123).

The spelling of 20101001001021 in words is "twenty trillion, one hundred one billion, one million, one thousand, twenty-one".

Divisors: 1 3 9 2233444555669 6700333667007 20101001001021