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131172136745 = 5133759924431
BaseRepresentation
bin111101000101001110…
…1111111011100101001
3110112120121111221221212
41322022131333130221
54122120031333440
6140132030042505
712322365523436
oct1721235773451
9415517457855
10131172136745
11506a2284891
1221509349435
13c4a5991780
1464c5024b8d
15362abe8465
hex1e8a77f729

131172136745 has 32 divisors (see below), whose sum is σ = 177047216640. Its totient is φ = 92650072320.

The previous prime is 131172136721. The next prime is 131172136747. The reversal of 131172136745 is 547631271131.

It is not a de Polignac number, because 131172136745 - 224 = 131155359529 is a prime.

It is a super-2 number, since 2×1311721367452 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131172136747) 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 31 ways as a sum of consecutive naturals, for example, 320321 + ... + 604110.

It is an arithmetic number, because the mean of its divisors is an integer number (5532725520).

Almost surely, 2131172136745 is an apocalyptic number.

It is an amenable number.

131172136745 is a deficient number, since it is larger than the sum of its proper divisors (45875079895).

131172136745 is a wasteful number, since it uses less digits than its factorization.

131172136745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924545.

The product of its digits is 105840, while the sum is 41.

The spelling of 131172136745 in words is "one hundred thirty-one billion, one hundred seventy-two million, one hundred thirty-six thousand, seven hundred forty-five".

Divisors: 1 5 13 37 59 65 185 295 481 767 2183 2405 3835 10915 28379 141895 924431 4622155 12017603 34203947 54541429 60088015 171019735 272707145 444651311 709038577 2018032873 2223256555 3545192885 10090164365 26234427349 131172136745