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313002102 = 23723161563
BaseRepresentation
bin10010101010000…
…000100001110110
3210210222011011110
4102222000201312
51120112031402
651020415450
710520321400
oct2252004166
9723864143
10313002102
11150755126
12889a7586
134cb00c5a
142d7d9b70
151c72b56c
hex12a80876

313002102 has 96 divisors (see below), whose sum is σ = 765379584. Its totient is φ = 84974400.

The previous prime is 313002097. The next prime is 313002121. The reversal of 313002102 is 201200313.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555673 + ... + 556235.

It is an arithmetic number, because the mean of its divisors is an integer number (7972704).

Almost surely, 2313002102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382689792).

313002102 is an abundant number, since it is smaller than the sum of its proper divisors (452377482).

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

313002102 is a wasteful number, since it uses less digits than its factorization.

313002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 313002102 is about 17691.8654188867. The cubic root of 313002102 is about 678.9676535411.

Adding to 313002102 its reverse (201200313), we get a palindrome (514202415).

The spelling of 313002102 in words is "three hundred thirteen million, two thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 31 42 49 61 62 93 98 122 147 183 186 217 294 366 427 434 563 651 854 1126 1281 1302 1519 1689 1891 2562 2989 3038 3378 3782 3941 4557 5673 5978 7882 8967 9114 11346 11823 13237 17453 17934 23646 26474 27587 34343 34906 39711 52359 55174 68686 79422 82761 92659 103029 104718 122171 165522 185318 206058 240401 244342 277977 366513 480802 555954 721203 733026 855197 1064633 1442406 1682807 1710394 2129266 2565591 3193899 3365614 5048421 5131182 6387798 7452431 10096842 14904862 22357293 44714586 52167017 104334034 156501051 313002102