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120131310 = 23513893461
BaseRepresentation
bin1110010100100…
…00111011101110
322101001022011210
413022100323232
5221223200220
615530455250
72656046025
oct712207356
9271038153
10120131310
11618a1482
1234294526
131bb71920
1411d518bc
15a82e6e0
hex7290eee

120131310 has 64 divisors (see below), whose sum is σ = 314072640. Its totient is φ = 29230080.

The previous prime is 120131279. The next prime is 120131383. The reversal of 120131310 is 13131021.

It is a super-2 number, since 2×1201313102 = 28863063284632200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32980 + ... + 36440.

It is an arithmetic number, because the mean of its divisors is an integer number (4907385).

Almost surely, 2120131310 is an apocalyptic number.

120131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157036320).

120131310 is an abundant number, since it is smaller than the sum of its proper divisors (193941330).

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

120131310 is a wasteful number, since it uses less digits than its factorization.

120131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 120131310 is about 10960.4429655010. The cubic root of 120131310 is about 493.4222594545.

Adding to 120131310 its reverse (13131021), we get a palindrome (133262331).

The spelling of 120131310 in words is "one hundred twenty million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 267 390 445 534 890 1157 1335 2314 2670 3461 3471 5785 6922 6942 10383 11570 17305 17355 20766 34610 34710 44993 51915 89986 103830 134979 224965 269958 308029 449930 616058 674895 924087 1349790 1540145 1848174 3080290 4004377 4620435 8008754 9240870 12013131 20021885 24026262 40043770 60065655 120131310