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131132023200 = 2533526070927
BaseRepresentation
bin111101000100000010…
…0111110000110100000
3110112110211000222112000
41322020010332012200
54122024244220300
6140124034204000
712321400543353
oct1721004760640
9415424028460
10131132023200
11506816769a2
12214b7a23600
13c49a588349
1464bd98229a
153627422c00
hex1e8813e1a0

131132023200 has 144 divisors (see below), whose sum is σ = 474260895360. Its totient is φ = 34968533760.

The previous prime is 131132023193. The next prime is 131132023207. The reversal of 131132023200 is 2320231131.

131132023200 is a `hidden beast` number, since 1 + 311 + 32 + 0 + 2 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131132023193) and next prime (131132023207).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (131132023207) 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, 3013864 + ... + 3057063.

It is an arithmetic number, because the mean of its divisors is an integer number (3293478440).

Almost surely, 2131132023200 is an apocalyptic number.

131132023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131132023200 is an abundant number, since it is smaller than the sum of its proper divisors (343128872160).

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

131132023200 is a wasteful number, since it uses less digits than its factorization.

131132023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070956 (or 6070937 counting only the distinct ones).

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

Adding to 131132023200 its reverse (2320231131), we get a palindrome (133452254331).

The spelling of 131132023200 in words is "one hundred thirty-one billion, one hundred thirty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 7200 10800 21600 6070927 12141854 18212781 24283708 30354635 36425562 48567416 54638343 60709270 72851124 91063905 97134832 109276686 121418540 145702248 151773175 163915029 182127810 194269664 218553372 242837080 273191715 291404496 303546350 327830058 364255620 437106744 455319525 485674160 546383430 582808992 607092700 655660116 728511240 819575145 874213488 910639050 971348320 1092766860 1214185400 1311320232 1365958575 1457022480 1639150290 1748426976 1821278100 2185533720 2428370800 2622640464 2731917150 2914044960 3278300580 3642556200 4097875725 4371067440 4856741600 5245280928 5463834300 6556601160 7285112400 8195751450 8742134880 10927668600 13113202320 14570224800 16391502900 21855337200 26226404640 32783005800 43710674400 65566011600 131132023200