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316102100 = 22523722309
BaseRepresentation
bin10010110101110…
…101010111010100
3211000210122120012
4102311311113110
51121410231400
651211055352
710555552316
oct2265652724
9730718505
10316102100
11152482206
1289a41558
1350647c82
142dda57b6
151cb3ed35
hex12d755d4

316102100 has 54 divisors (see below), whose sum is σ = 705286890. Its totient is φ = 122970240.

The previous prime is 316102091. The next prime is 316102139. The reversal of 316102100 is 1201613.

316102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 3378244 + 312723856 = 1838^2 + 17684^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135746 + ... + 138054.

Almost surely, 2316102100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352643445).

316102100 is an abundant number, since it is smaller than the sum of its proper divisors (389184790).

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

316102100 is a wasteful number, since it uses less digits than its factorization.

316102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 316102100 is about 17779.2603895663. The cubic root of 316102100 is about 681.2018106923.

Adding to 316102100 its reverse (1201613), we get a palindrome (317303713).

The spelling of 316102100 in words is "three hundred sixteen million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1369 1850 2309 2738 3700 4618 5476 6845 9236 11545 13690 23090 27380 34225 46180 57725 68450 85433 115450 136900 170866 230900 341732 427165 854330 1708660 2135825 3161021 4271650 6322042 8543300 12644084 15805105 31610210 63220420 79025525 158051050 316102100