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313213230 = 23451135153
BaseRepresentation
bin10010101010110…
…100000100101110
3210211100212210000
4102222310010232
51120140310410
651025125130
710522161051
oct2252640456
9724325700
10313213230
11150889810
1288a897a6
134cb76095
142d852a98
151c76ddc0
hex12ab412e

313213230 has 80 divisors (see below), whose sum is σ = 918784944. Its totient is φ = 75928320.

The previous prime is 313213207. The next prime is 313213231. The reversal of 313213230 is 32312313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313213231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8667 + ... + 26486.

Almost surely, 2313213230 is an apocalyptic number.

313213230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313213230 is an abundant number, since it is smaller than the sum of its proper divisors (605571714).

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

313213230 is a wasteful number, since it uses less digits than its factorization.

313213230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35183 (or 35174 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313213230 is about 17697.8312230623. The cubic root of 313213230 is about 679.1202796343.

Subtracting from 313213230 its product of nonzero digits (324), we obtain a triangular number (313212906 = T25028).

Adding to 313213230 its reverse (32312313), we get a palindrome (345525543).

The spelling of 313213230 in words is "three hundred thirteen million, two hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 35153 70306 105459 175765 210918 316377 351530 386683 527295 632754 773366 949131 1054590 1160049 1581885 1898262 1933415 2320098 2847393 3163770 3480147 3866830 4745655 5694786 5800245 6960294 9491310 10440441 11600490 14236965 17400735 20880882 28473930 31321323 34801470 52202205 62642646 104404410 156606615 313213230