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131105044145034 = 235269763465319
BaseRepresentation
bin11101110011110101000101…
…100101011010001110001010
3122012012112000221112011200000
4131303311011211122032022
5114141011112300120114
61142500454213023430
736421012133024301
oct3563650545321612
9565175027464600
10131105044145034
1138857378578023
1212855052024b76
1358201ca3a745b
142453737539438
151025522cc0e09
hex773d4595a38a

131105044145034 has 24 divisors (see below), whose sum is σ = 294581704129440. Its totient is φ = 43701681381516.

The previous prime is 131105044144999. The next prime is 131105044145039. The reversal of 131105044145034 is 430541440501131.

131105044145034 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 504 + 4 + 145 + 0 + 3 + 4 = 666.

It is a super-2 number, since 2×1311050441450342 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131105044145034.

It is not an unprimeable number, because it can be changed into a prime (131105044145039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134881732174 + ... + 134881733145.

It is an arithmetic number, because the mean of its divisors is an integer number (12274237672060).

Almost surely, 2131105044145034 is an apocalyptic number.

131105044145034 is an abundant number, since it is smaller than the sum of its proper divisors (163476659984406).

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

131105044145034 is an equidigital number, since it uses as much as digits as its factorization.

131105044145034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269763465336 (or 269763465324 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 131105044145034 its reverse (430541440501131), we get a palindrome (561646484646165).

The spelling of 131105044145034 in words is "one hundred thirty-one trillion, one hundred five billion, forty-four million, one hundred forty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 269763465319 539526930638 809290395957 1618580791914 2427871187871 4855742375742 7283613563613 14567227127226 21850840690839 43701681381678 65552522072517 131105044145034