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31155132101 is a prime number
BaseRepresentation
bin11101000000111111…
…011001011011000101
32222102020212200201112
4131000333121123011
51002301203211401
622151254334405
72152024152632
oct350077313305
988366780645
1031155132101
1112238294965
12605595a405
132c267aa112
141717a19189
15c252503bb
hex740fd96c5

31155132101 has 2 divisors, whose sum is σ = 31155132102. Its totient is φ = 31155132100.

The previous prime is 31155132083. The next prime is 31155132139. The reversal of 31155132101 is 10123155113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27556332001 + 3598800100 = 166001^2 + 59990^2 .

It is a cyclic number.

It is not a de Polignac number, because 31155132101 - 230 = 30081390277 is a prime.

It is a super-3 number, since 3×311551321013 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31155132301) 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, 15577566050 + 15577566051.

It is an arithmetic number, because the mean of its divisors is an integer number (15577566051).

Almost surely, 231155132101 is an apocalyptic number.

It is an amenable number.

31155132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31155132101 is an equidigital number, since it uses as much as digits as its factorization.

31155132101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 31155132101 its reverse (10123155113), we get a palindrome (41278287214).

The spelling of 31155132101 in words is "thirty-one billion, one hundred fifty-five million, one hundred thirty-two thousand, one hundred one".