Search a number
-
+
203313213131 = 7241284342391
BaseRepresentation
bin1011110101011001101…
…0010110111011001011
3201102210020200100110212
42331112122112323023
511312341140310011
6233222323431335
720455201540340
oct2752632267313
9642706610425
10203313213131
1179252010276
12334a122554b
1316231879712
149baa13a7c7
15544e28708b
hex2f56696ecb

203313213131 has 16 divisors (see below), whose sum is σ = 233409673728. Its totient is φ = 173480227200.

The previous prime is 203313213121. The next prime is 203313213149. The reversal of 203313213131 is 131312313302.

It is not a de Polignac number, because 203313213131 - 210 = 203313212107 is a prime.

It is a super-2 number, since 2×2033132131312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203313213097 and 203313213106.

It is not an unprimeable number, because it can be changed into a prime (203313213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4774946 + ... + 4817336.

It is an arithmetic number, because the mean of its divisors is an integer number (14588104608).

Almost surely, 2203313213131 is an apocalyptic number.

203313213131 is a deficient number, since it is larger than the sum of its proper divisors (30096460597).

203313213131 is a wasteful number, since it uses less digits than its factorization.

203313213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45482.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 203313213131 its reverse (131312313302), we get a palindrome (334625526433).

The spelling of 203313213131 in words is "two hundred three billion, three hundred thirteen million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 7 241 1687 2843 19901 42391 296737 685163 4796141 10216231 71513617 120517613 843623291 29044744733 203313213131