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131243114000 = 2453307213751
BaseRepresentation
bin111101000111010110…
…0101111111000010000
3110112202120001222110002
41322032230233320100
54122241214122000
6140143043225132
712324220030265
oct1721654577020
9415676058402
10131243114000
1150729353079
12215290781a8
13c4b75b304b
1464d061d26c
1536320688d5
hex1e8eb2fe10

131243114000 has 80 divisors (see below), whose sum is σ = 318381038976. Its totient is φ = 52326000000.

The previous prime is 131243113987. The next prime is 131243114011. The reversal of 131243114000 is 411342131.

131243114000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507125 + ... + 720875.

Almost surely, 2131243114000 is an apocalyptic number.

131243114000 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 131243114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159190519488).

131243114000 is an abundant number, since it is smaller than the sum of its proper divisors (187137924976).

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

131243114000 is a wasteful number, since it uses less digits than its factorization.

131243114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214081 (or 214065 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131243114000 its reverse (411342131), we get a palindrome (131654456131).

The spelling of 131243114000 in words is "one hundred thirty-one billion, two hundred forty-three million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 307 400 500 614 1000 1228 1535 2000 2456 3070 4912 6140 7675 12280 15350 24560 30700 38375 61400 76750 122800 153500 213751 307000 427502 614000 855004 1068755 1710008 2137510 3420016 4275020 5343775 8550040 10687550 17100080 21375100 26718875 42750200 53437750 65621557 85500400 106875500 131243114 213751000 262486228 328107785 427502000 524972456 656215570 1049944912 1312431140 1640538925 2624862280 3281077850 5249724560 6562155700 8202694625 13124311400 16405389250 26248622800 32810778500 65621557000 131243114000