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131642506153 = 418351717481
BaseRepresentation
bin111101010011010000…
…0010011101110101001
3110120210101121012111001
41322212200103232221
54124100440144103
6140250431435001
712340136561014
oct1724640235651
9416711535431
10131642506153
1150913843334
122161a985a61
13c54c270a72
14652b6a637b
15365715c01d
hex1ea6813ba9

131642506153 has 16 divisors (see below), whose sum is σ = 136522677312. Its totient is φ = 126842848000.

The previous prime is 131642506147. The next prime is 131642506157. The reversal of 131642506153 is 351605246131.

It is a de Polignac number, because none of the positive numbers 2k-131642506153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131642506157) 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 15 ways as a sum of consecutive naturals, for example, 17593173 + ... + 17600653.

It is an arithmetic number, because the mean of its divisors is an integer number (8532667332).

Almost surely, 2131642506153 is an apocalyptic number.

It is an amenable number.

131642506153 is a deficient number, since it is larger than the sum of its proper divisors (4880171159).

131642506153 is an equidigital number, since it uses as much as digits as its factorization.

131642506153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12776.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 131642506153 in words is "one hundred thirty-one billion, six hundred forty-two million, five hundred six thousand, one hundred fifty-three".

Divisors: 1 41 83 3403 5171 7481 212011 306721 429193 620923 17596913 25457843 38684251 1586054291 3210792833 131642506153