Search a number
-
+
1020000122001 = 32752333093919
BaseRepresentation
bin11101101011111001011…
…11101011010010010001
310121111210120011220002100
432311330233223102101
5113202430012401001
62100325342311013
7133456360661430
oct16657457532221
93544716156070
101020000122001
11363641528643
12145823b88469
13752549b6b63
1437522761117
151b7ec508586
hexed7cbeb491

1020000122001 has 24 divisors (see below), whose sum is σ = 1684132037120. Its totient is φ = 582745643136.

The previous prime is 1020000121981. The next prime is 1020000122083. The reversal of 1020000122001 is 1002210000201.

It is not a de Polignac number, because 1020000122001 - 25 = 1020000121969 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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1020000132001) 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, 1217281 + ... + 1876638.

Almost surely, 21020000122001 is an apocalyptic number.

It is an amenable number.

1020000122001 is a deficient number, since it is larger than the sum of its proper divisors (664131915119).

1020000122001 is a wasteful number, since it uses less digits than its factorization.

1020000122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099165 (or 3099162 counting only the distinct ones).

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

Adding to 1020000122001 its reverse (1002210000201), we get a palindrome (2022210122202).

The spelling of 1020000122001 in words is "one trillion, twenty billion, one hundred twenty-two thousand, one".

Divisors: 1 3 7 9 21 63 5233 15699 36631 47097 109893 329679 3093919 9281757 21657433 27845271 64972299 194916897 16190478127 48571434381 113333346889 145714303143 340000040667 1020000122001