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142130031320 = 23531117197883
BaseRepresentation
bin1000010001011110011…
…1000010101011011000
3111120212021201200102002
42010113213002223120
54312040242000240
6145143231500132
713161054222104
oct2042747025330
9446767650362
10142130031320
1155305774202
1223667087648
1310530c66164
146c44494904
153a6cc1bd15
hex21179c2ad8

142130031320 has 64 divisors (see below), whose sum is σ = 330393738240. Its totient is φ = 54970531200.

The previous prime is 142130031319. The next prime is 142130031349. The reversal of 142130031320 is 23130031241.

142130031320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 142130031292 and 142130031301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1403099 + ... + 1500981.

It is an arithmetic number, because the mean of its divisors is an integer number (5162402160).

Almost surely, 2142130031320 is an apocalyptic number.

142130031320 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 142130031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165196869120).

142130031320 is an abundant number, since it is smaller than the sum of its proper divisors (188263706920).

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

142130031320 is a wasteful number, since it uses less digits than its factorization.

142130031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99096 (or 99092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 142130031320 its reverse (23130031241), we get a palindrome (165260062561).

The spelling of 142130031320 in words is "one hundred forty-two billion, one hundred thirty million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1171 1240 2342 4684 5855 9368 11710 23420 36301 46840 72602 97883 145204 181505 195766 290408 363010 391532 489415 726020 783064 978830 1452040 1957660 3034373 3915320 6068746 12137492 15171865 24274984 30343730 60687460 114620993 121374920 229241986 458483972 573104965 916967944 1146209930 2292419860 3553250783 4584839720 7106501566 14213003132 17766253915 28426006264 35532507830 71065015660 142130031320