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131223454000 = 2453263324919
BaseRepresentation
bin111101000110110000…
…1110000000100110000
3110112201012002010222221
41322031201300010300
54122221201012000
6140141102010424
712323560645432
oct1721541600460
9415635063887
10131223454000
1150719245241
1221522576a14
13c4b34bb602
1464cbb82652
15363048361a
hex1e8d870130

131223454000 has 80 divisors (see below), whose sum is σ = 317431558080. Its totient is φ = 52467340800.

The previous prime is 131223453997. The next prime is 131223454007. The reversal of 131223454000 is 454322131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (131223454007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5253541 + ... + 5278459.

It is an arithmetic number, because the mean of its divisors is an integer number (3967894476).

Almost surely, 2131223454000 is an apocalyptic number.

131223454000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131223454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158715779040).

131223454000 is an abundant number, since it is smaller than the sum of its proper divisors (186208104080).

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

131223454000 is a wasteful number, since it uses less digits than its factorization.

131223454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27575 (or 27559 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 131223454000 its reverse (454322131), we get a palindrome (131677776131).

The spelling of 131223454000 in words is "one hundred thirty-one billion, two hundred twenty-three million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2633 5266 10532 13165 21064 24919 26330 42128 49838 52660 65825 99676 105320 124595 131650 199352 210640 249190 263300 329125 398704 498380 526600 622975 658250 996760 1053200 1245950 1316500 1993520 2491900 2633000 3114875 4983800 5266000 6229750 9967600 12459500 24919000 49838000 65611727 131223454 262446908 328058635 524893816 656117270 1049787632 1312234540 1640293175 2624469080 3280586350 5248938160 6561172700 8201465875 13122345400 16402931750 26244690800 32805863500 65611727000 131223454000