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131211021101 = 292156017861
BaseRepresentation
bin111101000110011001…
…0010100101100101101
3110112200022200111021012
41322030302110230231
54122210010133401
6140135535315005
712323350164056
oct1721462245455
9415608614235
10131211021101
1150712223216
122151a37ba65
13c4b0a57574
1464ca26772d
15362e3298bb
hex1e8cc94b2d

131211021101 has 6 divisors (see below), whose sum is σ = 135891557802. Its totient is φ = 126686502320.

The previous prime is 131211021089. The next prime is 131211021113. The reversal of 131211021101 is 101120112131.

It is an interprime number because it is at equal distance from previous prime (131211021089) and next prime (131211021113).

It can be written as a sum of positive squares in 3 ways, for example, as 61251300100 + 69959721001 = 247490^2 + 264499^2 .

It is not a de Polignac number, because 131211021101 - 26 = 131211021037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131211021401) 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 5 ways as a sum of consecutive naturals, for example, 78008090 + ... + 78009771.

It is an arithmetic number, because the mean of its divisors is an integer number (22648592967).

Almost surely, 2131211021101 is an apocalyptic number.

It is an amenable number.

131211021101 is a deficient number, since it is larger than the sum of its proper divisors (4680536701).

131211021101 is an equidigital number, since it uses as much as digits as its factorization.

131211021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156017919 (or 156017890 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 131211021101 its reverse (101120112131), we get a palindrome (232331133232).

The spelling of 131211021101 in words is "one hundred thirty-one billion, two hundred eleven million, twenty-one thousand, one hundred one".

Divisors: 1 29 841 156017861 4524517969 131211021101