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131211143424 = 283256949281
BaseRepresentation
bin111101000110011001…
…0110010100100000000
3110112200022220201001200
41322030302302210000
54122210023042144
6140135542101200
712323351213514
oct1721462624400
9415608821050
10131211143424
11507122a7109
122151a41a800
13c4b0a9b14a
1464ca29a144
15362e350c69
hex1e8ccb2900

131211143424 has 54 divisors (see below), whose sum is σ = 378314080326. Its totient is φ = 43737047040.

The previous prime is 131211143341. The next prime is 131211143467. The reversal of 131211143424 is 424341112131.

It is a happy number.

131211143424 is a `hidden beast` number, since 1 + 3 + 121 + 114 + 3 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130812422400 + 398721024 = 361680^2 + 19968^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28472337 + ... + 28476944.

Almost surely, 2131211143424 is an apocalyptic number.

It is an amenable number.

131211143424 is an abundant number, since it is smaller than the sum of its proper divisors (247102936902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131211143424 is an equidigital number, since it uses as much as digits as its factorization.

131211143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56949303 (or 56949286 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 131211143424 its reverse (424341112131), we get a palindrome (555552255555).

The spelling of 131211143424 in words is "one hundred thirty-one billion, two hundred eleven million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 56949281 113898562 170847843 227797124 341695686 455594248 512543529 683391372 911188496 1025087058 1366782744 1822376992 2050174116 2733565488 3644753984 4100348232 5467130976 7289507968 8200696464 10934261952 14579015936 16401392928 21868523904 32802785856 43737047808 65605571712 131211143424