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201023300131 is a prime number
BaseRepresentation
bin1011101100110111101…
…1000010001000100011
3201012212122210201101021
42323031323002020203
511243143431101011
6232203202550311
720344354600213
oct2731573021043
9635778721337
10201023300131
1178287459795
1232b62368397
1315c58326904
149a2dd76243
155368209471
hex2ecdec2223

201023300131 has 2 divisors, whose sum is σ = 201023300132. Its totient is φ = 201023300130.

The previous prime is 201023300087. The next prime is 201023300141. The reversal of 201023300131 is 131003320102.

201023300131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 201023300131 - 213 = 201023291939 is a prime.

It is a super-2 number, since 2×2010233001312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201023300141) 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 as a sum of consecutive naturals, namely, 100511650065 + 100511650066.

It is an arithmetic number, because the mean of its divisors is an integer number (100511650066).

Almost surely, 2201023300131 is an apocalyptic number.

201023300131 is a deficient number, since it is larger than the sum of its proper divisors (1).

201023300131 is an equidigital number, since it uses as much as digits as its factorization.

201023300131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 201023300131 its reverse (131003320102), we get a palindrome (332026620233).

It can be divided in two parts, 20102 and 3300131, that added together give a palindrome (3320233).

The spelling of 201023300131 in words is "two hundred one billion, twenty-three million, three hundred thousand, one hundred thirty-one".