Search a number
-
+
313102140 = 2235131937571
BaseRepresentation
bin10010101010011…
…000111100111100
3210211011020101120
4102222120330330
51120123232030
651022510540
710521216141
oct2252307474
9724136346
10313102140
111508132aa
1288a35450
134cb37650
142d8243c8
151c74b010
hex12a98f3c

313102140 has 192 divisors, whose sum is σ = 1022461440. Its totient is φ = 70917120.

The previous prime is 313102079. The next prime is 313102187. The reversal of 313102140 is 41201313.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 548055 + ... + 548625.

It is an arithmetic number, because the mean of its divisors is an integer number (5325320).

Almost surely, 2313102140 is an apocalyptic number.

313102140 is a gapful number since it is divisible by the number (30) 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 313102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511230720).

313102140 is an abundant number, since it is smaller than the sum of its proper divisors (709359300).

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

313102140 is a wasteful number, since it uses less digits than its factorization.

313102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 313102140 is about 17694.6924245662. The cubic root of 313102140 is about 679.0399803517.

Adding to 313102140 its reverse (41201313), we get a palindrome (354303453).

The spelling of 313102140 in words is "three hundred thirteen million, one hundred two thousand, one hundred forty".