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131220434023104 = 263897679098433
BaseRepresentation
bin11101110101100000100011…
…010110110111001011000000
3122012121112212122221022202210
4131311200203112313023000
5114144403422102214404
61143025500222342120
736432235452556056
oct3565404326671300
9565545778838683
10131220434023104
11388a1301107318
1212873495a2a940
13582b05943c30a
1424591624ac1d6
151028528184689
hex7758235b72c0

131220434023104 has 56 divisors (see below), whose sum is σ = 351088380402480. Its totient is φ = 43248682369024.

The previous prime is 131220434023103. The next prime is 131220434023121. The reversal of 131220434023104 is 401320434022131.

It is not an unprimeable number, because it can be changed into a prime (131220434023103) 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 in 7 ways as a sum of consecutive naturals, for example, 3839532129 + ... + 3839566304.

It is an arithmetic number, because the mean of its divisors is an integer number (6269435364330).

Almost surely, 2131220434023104 is an apocalyptic number.

It is an amenable number.

131220434023104 is an abundant number, since it is smaller than the sum of its proper divisors (219867946379376).

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

131220434023104 is an equidigital number, since it uses as much as digits as its factorization.

131220434023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679098537 (or 7679098527 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131220434023104 its reverse (401320434022131), we get a palindrome (532540868045235).

The spelling of 131220434023104 in words is "one hundred thirty-one trillion, two hundred twenty billion, four hundred thirty-four million, twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1424 2136 2848 4272 5696 8544 17088 7679098433 15358196866 23037295299 30716393732 46074590598 61432787464 92149181196 122865574928 184298362392 245731149856 368596724784 491462299712 683439760537 737193449568 1366879521074 1474386899136 2050319281611 2733759042148 4100638563222 5467518084296 8201277126444 10935036168592 16402554252888 21870072337184 32805108505776 43740144674368 65610217011552 131220434023104