Search a number
-
+
1100012010021 = 32729011676569
BaseRepresentation
bin10000000000011101110…
…100110011101000100101
310220011022201122221101100
4100000131310303220211
5121010311033310041
62201201042550313
7142321215545121
oct20003564635045
93804281587340
101100012010021
11394570114331
12159233968399
137c9664219b2
143b352d12581
151d931a746b6
hex1001dd33a25

1100012010021 has 12 divisors (see below), whose sum is σ = 1588928979820. Its totient is φ = 733330843200.

The previous prime is 1100012010011. The next prime is 1100012010049. The reversal of 1100012010021 is 1200102100011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 923011740225 + 177000269796 = 960735^2 + 420714^2 .

It is not a de Polignac number, because 1100012010021 - 217 = 1100011878949 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100012009985 and 1100012010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100012010011) 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, 182176 + ... + 1494393.

Almost surely, 21100012010021 is an apocalyptic number.

It is an amenable number.

1100012010021 is a deficient number, since it is larger than the sum of its proper divisors (488916969799).

1100012010021 is a wasteful number, since it uses less digits than its factorization.

1100012010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749476 (or 1749473 counting only the distinct ones).

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

Adding to 1100012010021 its reverse (1200102100011), we get a palindrome (2300114110032).

The spelling of 1100012010021 in words is "one trillion, one hundred billion, twelve million, ten thousand, twenty-one".

Divisors: 1 3 9 72901 218703 656109 1676569 5029707 15089121 122223556669 366670670007 1100012010021