Search a number
-
+
2131203203113 = 233110129594701
BaseRepresentation
bin11111000000110101100…
…111000010000000101001
321112202000012211010222011
4133000311213002000221
5234404201004444423
64311021120555521
7306655126221145
oct37006547020051
97482005733864
102131203203113
11751924714256
122a505b782ba1
13125c827b22ba
1475217a80225
153a6867b0b0d
hex1f0359c2029

2131203203113 has 16 divisors (see below), whose sum is σ = 2318330575872. Its totient is φ = 1953250200000.

The previous prime is 2131203203111. The next prime is 2131203203149. The reversal of 2131203203113 is 3113023021312.

It is a cyclic number.

It is not a de Polignac number, because 2131203203113 - 21 = 2131203203111 is a prime.

It is a super-2 number, since 2×21312032031132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2131203203111) 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 15 ways as a sum of consecutive naturals, for example, 14725338 + ... + 14869363.

It is an arithmetic number, because the mean of its divisors is an integer number (144895660992).

Almost surely, 22131203203113 is an apocalyptic number.

2131203203113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2131203203113 is a deficient number, since it is larger than the sum of its proper divisors (187127372759).

2131203203113 is a wasteful number, since it uses less digits than its factorization.

2131203203113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29594856.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2131203203113 its reverse (3113023021312), we get a palindrome (5244226224425).

The spelling of 2131203203113 in words is "two trillion, one hundred thirty-one billion, two hundred three million, two hundred three thousand, one hundred thirteen".

Divisors: 1 23 31 101 713 2323 3131 72013 29594701 680678123 917435731 2989064801 21101021813 68748490423 92661008831 2131203203113