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130320132031120 = 2454135739388777
BaseRepresentation
bin11101101000011010000101…
…001011010100001010010000
3122002102111001001220110102011
4131220122011023110022100
5114040131112244443440
61141100124150232304
736310214234111323
oct3550320513241220
9562374031813364
10130320132031120
1138584504102479
1212748ab8655694
13579419c238835
142427756d547ba
15100edd43a39ea
hex7686852d4290

130320132031120 has 40 divisors (see below), whose sum is σ = 303001640977464. Its totient is φ = 52126791048192.

The previous prime is 130320132031027. The next prime is 130320132031157. The reversal of 130320132031120 is 21130231023031.

It can be written as a sum of positive squares in 4 ways, for example, as 16574408884224 + 113745723146896 = 4071168^2 + 10665164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 130320132031091 and 130320132031100.

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 7 ways as a sum of consecutive naturals, for example, 16385829 + ... + 23002948.

Almost surely, 2130320132031120 is an apocalyptic number.

130320132031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130320132031120 is an abundant number, since it is smaller than the sum of its proper divisors (172681508946344).

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

130320132031120 is a wasteful number, since it uses less digits than its factorization.

130320132031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39430147 (or 39430141 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 130320132031120 its reverse (21130231023031), we get a palindrome (151450363054151).

The spelling of 130320132031120 in words is "one hundred thirty trillion, three hundred twenty billion, one hundred thirty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 41357 82714 165428 206785 330856 413570 661712 827140 1654280 3308560 39388777 78777554 157555108 196943885 315110216 393887770 630220432 787775540 1575551080 3151102160 1629001650389 3258003300778 6516006601556 8145008251945 13032013203112 16290016503890 26064026406224 32580033007780 65160066015560 130320132031120