Search a number
-
+
2131331333301 = 32236814592589
BaseRepresentation
bin11111000000111101001…
…111110011110010110101
321112202100010220211112200
4133000331033303302311
5234404431310131201
64311041535135113
7306661243263432
oct37007517636265
97482303824480
102131331333301
1175198aa79375
122a5096674499
13125ca31c4991
147522aab4b89
153a692b70386
hex1f03d3f3cb5

2131331333301 has 6 divisors (see below), whose sum is σ = 3078589703670. Its totient is φ = 1420887555528.

The previous prime is 2131331333291. The next prime is 2131331333309. The reversal of 2131331333301 is 1033331331312.

2131331333301 is a `hidden beast` number, since 2 + 1 + 3 + 13 + 313 + 3 + 330 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1334426970276 + 796904363025 = 1155174^2 + 892695^2 .

It is not a de Polignac number, because 2131331333301 - 29 = 2131331332789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131331333309) 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, 118407296286 + ... + 118407296303.

It is an arithmetic number, because the mean of its divisors is an integer number (513098283945).

Almost surely, 22131331333301 is an apocalyptic number.

It is an amenable number.

2131331333301 is a deficient number, since it is larger than the sum of its proper divisors (947258370369).

2131331333301 is a wasteful number, since it uses less digits than its factorization.

2131331333301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236814592595 (or 236814592592 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 2131331333301 its reverse (1033331331312), we get a palindrome (3164662664613).

The spelling of 2131331333301 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-one million, three hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 236814592589 710443777767 2131331333301