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120037537129 is a prime number
BaseRepresentation
bin110111111001011001…
…0110111010101101001
3102110211121210200202111
41233302302313111221
53431314102142004
6131051113002321
711446433142046
oct1576262672551
9373747720674
10120037537129
11469a9073344
121b3203b33a1
13b41cbcaba3
145b4a3181cd
1531c841ca04
hex1bf2cb7569

120037537129 has 2 divisors, whose sum is σ = 120037537130. Its totient is φ = 120037537128.

The previous prime is 120037537117. The next prime is 120037537201. The reversal of 120037537129 is 921735730021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94867080025 + 25170457104 = 308005^2 + 158652^2 .

It is a cyclic number.

It is not a de Polignac number, because 120037537129 - 217 = 120037406057 is a prime.

It is a super-3 number, since 3×1200375371293 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120037537091 and 120037537100.

It is not a weakly prime, because it can be changed into another prime (120037531129) 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 as a sum of consecutive naturals, namely, 60018768564 + 60018768565.

It is an arithmetic number, because the mean of its divisors is an integer number (60018768565).

Almost surely, 2120037537129 is an apocalyptic number.

It is an amenable number.

120037537129 is a deficient number, since it is larger than the sum of its proper divisors (1).

120037537129 is an equidigital number, since it uses as much as digits as its factorization.

120037537129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 120037537129 in words is "one hundred twenty billion, thirty-seven million, five hundred thirty-seven thousand, one hundred twenty-nine".