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131117470200 = 2334528093671
BaseRepresentation
bin111101000011100110…
…1011101000111111000
3110112102210122121120000
41322013031131013320
54122012033021300
6140122354233000
712321133051653
oct1720715350770
9415383577500
10131117470200
1150674437022
12214b2b85760
13c4975612c2
1464bba7489a
153625eeac00
hex1e8735d1f8

131117470200 has 120 divisors (see below), whose sum is σ = 455390455080. Its totient is φ = 34964654400.

The previous prime is 131117470147. The next prime is 131117470201. The reversal of 131117470200 is 2074711131.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131117470201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4030636 + ... + 4063035.

It is an arithmetic number, because the mean of its divisors is an integer number (3794920459).

Almost surely, 2131117470200 is an apocalyptic number.

131117470200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131117470200 is an abundant number, since it is smaller than the sum of its proper divisors (324272984880).

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

131117470200 is a wasteful number, since it uses less digits than its factorization.

131117470200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093699 (or 8093681 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 131117470200 in words is "one hundred thirty-one billion, one hundred seventeen million, four hundred seventy thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 8093671 16187342 24281013 32374684 40468355 48562026 64749368 72843039 80936710 97124052 121405065 145686078 161873420 194248104 202341775 218529117 242810130 291372156 323746840 364215195 404683550 437058234 485620260 582744312 607025325 655587351 728430390 809367100 874116468 971240520 1092645585 1214050650 1311174702 1456860780 1618734200 1748232936 1821075975 2185291170 2428101300 2622349404 2913721560 3277936755 3642151950 4370582340 4856202600 5244698808 5463227925 6555873510 7284303900 8741164680 10926455850 13111747020 14568607800 16389683775 21852911700 26223494040 32779367550 43705823400 65558735100 131117470200