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131020332000 = 2535310918361
BaseRepresentation
bin111101000000101101…
…0111001101111100000
3110112012000212110222220
41322001122321233200
54121312201111000
6140105004231040
712315543306135
oct1720132715740
9415160773886
10131020332000
115062461a718
122148653b480
13c4803b028c
1464acbca58c
15361c70e1a0
hex1e816b9be0

131020332000 has 96 divisors (see below), whose sum is σ = 429222646944. Its totient is φ = 34938752000.

The previous prime is 131020331999. The next prime is 131020332017. The reversal of 131020332000 is 233020131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5447181 + ... + 5471180.

It is an arithmetic number, because the mean of its divisors is an integer number (4471069239).

Almost surely, 2131020332000 is an apocalyptic number.

131020332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020332000 is an abundant number, since it is smaller than the sum of its proper divisors (298202314944).

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

131020332000 is a wasteful number, since it uses less digits than its factorization.

131020332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10918389 (or 10918371 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 131020332000 its reverse (233020131), we get a palindrome (131253352131).

The spelling of 131020332000 in words is "one hundred thirty-one billion, twenty million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 10918361 21836722 32755083 43673444 54591805 65510166 87346888 109183610 131020332 163775415 174693776 218367220 262040664 272959025 327550830 349387552 436734440 524081328 545918050 655101660 818877075 873468880 1048162656 1091836100 1310203320 1364795125 1637754150 1746937760 2183672200 2620406640 2729590250 3275508300 4094385375 4367344400 5240813280 5459180500 6551016600 8188770750 8734688800 10918361000 13102033200 16377541500 21836722000 26204066400 32755083000 43673444000 65510166000 131020332000