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313124130 = 234511113311
BaseRepresentation
bin10010101010011…
…110010100100010
3210211012100120000
4102222132110202
51120124433010
651023200430
710521340224
oct2252362442
9724170500
10313124130
11150828880
1288a46116
134cb44667
142d82c414
151c7527c0
hex12a9e522

313124130 has 160 divisors (see below), whose sum is σ = 929605248. Its totient is φ = 74995200.

The previous prime is 313124117. The next prime is 313124131. The reversal of 313124130 is 31421313.

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

It is not an unprimeable number, because it can be changed into a prime (313124131) 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 79 ways as a sum of consecutive naturals, for example, 1006675 + ... + 1006985.

Almost surely, 2313124130 is an apocalyptic number.

313124130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313124130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464802624).

313124130 is an abundant number, since it is smaller than the sum of its proper divisors (616481118).

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

313124130 is a wasteful number, since it uses less digits than its factorization.

313124130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313124130 is about 17695.3137864238. The cubic root of 313124130 is about 679.0558769103.

Adding to 313124130 its reverse (31421313), we get a palindrome (344545443).

It can be divided in two parts, 3131 and 24130, that added together give a triangular number (27261 = T233).

The spelling of 313124130 in words is "three hundred thirteen million, one hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 113 135 162 165 198 226 270 297 311 330 339 405 495 565 594 622 678 810 891 933 990 1017 1130 1243 1485 1555 1695 1782 1866 2034 2486 2799 2970 3051 3110 3390 3421 3729 4455 4665 5085 5598 6102 6215 6842 7458 8397 8910 9153 9330 10170 10263 11187 12430 13995 15255 16794 17105 18306 18645 20526 22374 25191 27990 30510 30789 33561 34210 35143 37290 41985 45765 50382 51315 55935 61578 67122 70286 83970 91530 92367 100683 102630 105429 111870 125955 153945 167805 175715 184734 201366 210858 251910 277101 307890 316287 335610 351430 386573 461835 503415 527145 554202 632574 773146 923670 948861 1006830 1054290 1159719 1385505 1581435 1897722 1932865 2319438 2771010 2846583 3162870 3479157 3865730 4744305 5693166 5798595 6958314 9488610 10437471 11597190 14232915 17395785 20874942 28465830 31312413 34791570 52187355 62624826 104374710 156562065 313124130