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131223645 = 365737139
BaseRepresentation
bin1111101001001…
…01000001011101
3100010220212000000
413310211001131
5232043124040
621004324513
73152245140
oct764450135
9303825000
10131223645
11680882a3
1237b43739
1321256737
14135dc057
15b7c1130
hex7d2505d

131223645 has 112 divisors (see below), whose sum is σ = 279108480. Its totient is φ = 57946752.

The previous prime is 131223613. The next prime is 131223737. The reversal of 131223645 is 546322131.

131223645 is a `hidden beast` number, since 1 + 3 + 12 + 2 + 3 + 645 = 666.

It is not a de Polignac number, because 131223645 - 25 = 131223613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 943986 + ... + 944124.

It is an arithmetic number, because the mean of its divisors is an integer number (2492040).

Almost surely, 2131223645 is an apocalyptic number.

131223645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131223645 is an abundant number, since it is smaller than the sum of its proper divisors (147884835).

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

131223645 is an equidigital number, since it uses as much as digits as its factorization.

131223645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 131223645 is about 11455.2889531430. The cubic root of 131223645 is about 508.1641607323.

Adding to 131223645 its reverse (546322131), we get a palindrome (677545776).

The spelling of 131223645 in words is "one hundred thirty-one million, two hundred twenty-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 139 185 189 243 259 315 333 405 417 555 567 695 729 777 945 973 999 1215 1251 1295 1665 1701 2085 2331 2835 2919 2997 3645 3753 3885 4865 4995 5103 5143 6255 6993 8505 8757 8991 11259 11655 14595 14985 15429 18765 20979 25515 25715 26271 26973 33777 34965 36001 43785 44955 46287 56295 62937 77145 78813 101331 104895 108003 131355 134865 138861 168885 180005 188811 231435 236439 314685 324009 394065 416583 506655 540015 694305 709317 944055 972027 1182195 1249749 1620045 2082915 2916081 3546585 3749247 4860135 6248745 8748243 14580405 18746235 26244729 43741215 131223645