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131223003120 = 243251116568561
BaseRepresentation
bin111101000110110000…
…0000001111111110000
3110112201011020020111200
41322031200001333300
54122221042044440
6140141044211200
712323554060056
oct1721540017760
9415634206450
10131223003120
1150718a67510
1221522399b00
13c4b3391311
1464cbaa61d6
1536303e4c30
hex1e8d801ff0

131223003120 has 120 divisors (see below), whose sum is σ = 480753394992. Its totient is φ = 31811635200.

The previous prime is 131223003097. The next prime is 131223003127. The reversal of 131223003120 is 21300322131.

131223003120 is a `hidden beast` number, since 1 + 31 + 22 + 300 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131223003093 and 131223003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131223003127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8276361 + ... + 8292200.

Almost surely, 2131223003120 is an apocalyptic number.

131223003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223003120 is an abundant number, since it is smaller than the sum of its proper divisors (349530391872).

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

131223003120 is a wasteful number, since it uses less digits than its factorization.

131223003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16568591 (or 16568582 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131223003120 its reverse (21300322131), we get a palindrome (152523325251).

The spelling of 131223003120 in words is "one hundred thirty-one billion, two hundred twenty-three million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 16568561 33137122 49705683 66274244 82842805 99411366 132548488 149117049 165685610 182254171 198822732 248528415 265096976 298234098 331371220 364508342 397645464 497056830 546762513 596468196 662742440 729016684 745585245 795290928 911270855 994113660 1093525026 1192936392 1325484880 1458033368 1491170490 1640287539 1822541710 1988227320 2187050052 2385872784 2733812565 2916066736 2982340980 3280575078 3645083420 3976454640 4374100104 5467625130 5964681960 6561150156 7290166840 8201437695 8748200208 10935250260 11929363920 13122300312 14580333680 16402875390 21870500520 26244600624 32805750780 43741001040 65611501560 131223003120