Search a number
-
+
2131223021201 = 23533697472907
BaseRepresentation
bin11111000000110110110…
…010101000011010010001
321112202001121010000021102
4133000312302220122101
5234404221043134301
64311023105434145
7306655456531631
oct37006662503221
97482047100242
102131223021201
1175193491a93a
122a506633b955
13125c86930991
147521a55c6c1
153a6883c7b6b
hex1f036ca8691

2131223021201 has 16 divisors (see below), whose sum is σ = 2266462664064. Its totient is φ = 1999552498944.

The previous prime is 2131223021159. The next prime is 2131223021269. The reversal of 2131223021201 is 1021203221312.

It is a cyclic number.

It is not a de Polignac number, because 2131223021201 - 222 = 2131218826897 is a prime.

It is a super-2 number, since 2×21312230212012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2131223021401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4270190 + ... + 4743096.

It is an arithmetic number, because the mean of its divisors is an integer number (141653916504).

Almost surely, 22131223021201 is an apocalyptic number.

It is an amenable number.

2131223021201 is a deficient number, since it is larger than the sum of its proper divisors (135239642863).

2131223021201 is a wasteful number, since it uses less digits than its factorization.

2131223021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476680.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2131223021201 its reverse (1021203221312), we get a palindrome (3152426242513).

It can be divided in two parts, 213122 and 3021201, that added together give a palindrome (3234323).

The spelling of 2131223021201 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-three million, twenty-one thousand, two hundred one".

Divisors: 1 23 53 1219 3697 85031 195941 472907 4506643 10876861 25064071 576473633 1748337179 40211755117 92661870487 2131223021201