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131070329568 = 2532455105311
BaseRepresentation
bin111101000010001100…
…1101000001011100000
3110112022111221121202200
41322010121220023200
54121413001021233
6140113552013200
712320021263503
oct1720431501340
9415274847680
10131070329568
115064a869622
122149b231200
13c48a867539
1464b56c313a
153621cd8313
hex1e846682e0

131070329568 has 36 divisors (see below), whose sum is σ = 372731250528. Its totient is φ = 43690109760.

The previous prime is 131070329539. The next prime is 131070329627. The reversal of 131070329568 is 865923070131.

131070329568 is a `hidden beast` number, since 1 + 3 + 10 + 70 + 3 + 2 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 227552368 + ... + 227552943.

It is an arithmetic number, because the mean of its divisors is an integer number (10353645848).

Almost surely, 2131070329568 is an apocalyptic number.

131070329568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131070329568 is an abundant number, since it is smaller than the sum of its proper divisors (241660920960).

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

131070329568 is a wasteful number, since it uses less digits than its factorization.

131070329568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455105327 (or 455105316 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

Adding to 131070329568 its reverse (865923070131), we get a palindrome (996993399699).

The spelling of 131070329568 in words is "one hundred thirty-one billion, seventy million, three hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 455105311 910210622 1365315933 1820421244 2730631866 3640842488 4095947799 5461263732 7281684976 8191895598 10922527464 14563369952 16383791196 21845054928 32767582392 43690109856 65535164784 131070329568