Search a number
-
+
102220000010001 = 3237306966966997
BaseRepresentation
bin10111001111011111110010…
…110010100001111100010001
3111101221010200112222211201100
4113033133302302201330101
5101344233030000310001
61001223115243255013
730350102614652346
oct2717376262417421
9441833615884640
10102220000010001
112a630293154745
12b56ab0721a469
1345063c63a8813
141b3568da6c7cd
15bc3e9b990586
hex5cf7f2ca1f11

102220000010001 has 12 divisors (see below), whose sum is σ = 151641681697012. Its totient is φ = 66304864871136.

The previous prime is 102220000009999. The next prime is 102220000010057. The reversal of 102220000010001 is 100010000022201.

It can be written as a sum of positive squares in 2 ways, for example, as 93969777827601 + 8250222182400 = 9693801^2 + 2872320^2 .

It is not a de Polignac number, because 102220000010001 - 21 = 102220000009999 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 not an unprimeable number, because it can be changed into a prime (102220000010201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153483483166 + ... + 153483483831.

Almost surely, 2102220000010001 is an apocalyptic number.

It is an amenable number.

102220000010001 is a deficient number, since it is larger than the sum of its proper divisors (49421681687011).

102220000010001 is a wasteful number, since it uses less digits than its factorization.

102220000010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306966967040 (or 306966967037 counting only the distinct ones).

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

Adding to 102220000010001 its reverse (100010000022201), we get a palindrome (202230000032202).

The spelling of 102220000010001 in words is "one hundred two trillion, two hundred twenty billion, ten thousand, one".

Divisors: 1 3 9 37 111 333 306966966997 920900900991 2762702702973 11357777778889 34073333336667 102220000010001