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1313212230 = 2335111393181
BaseRepresentation
bin100111001000110…
…0000011101000110
310101112001002112000
41032101200131012
510142140242410
6334150410130
744354056041
oct11621403506
93345032460
101313212230
11614301870
12307960946
1317c0b2975
14c659dc58
157a44edc0
hex4e460746

1313212230 has 128 divisors (see below), whose sum is σ = 3848947200. Its totient is φ = 315964800.

The previous prime is 1313212183. The next prime is 1313212231. The reversal of 1313212230 is 322123131.

It is a super-2 number, since 2×13132122302 = 3449052722043145800, which contains 22 as substring.

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 (1313212231) 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 63 ways as a sum of consecutive naturals, for example, 411240 + ... + 414420.

It is an arithmetic number, because the mean of its divisors is an integer number (30069900).

Almost surely, 21313212230 is an apocalyptic number.

1313212230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313212230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924473600).

1313212230 is an abundant number, since it is smaller than the sum of its proper divisors (2535734970).

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

1313212230 is a wasteful number, since it uses less digits than its factorization.

1313212230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3341 counting only the distinct ones).

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

The square root of 1313212230 is about 36238.2702401756. The cubic root of 1313212230 is about 1095.0777951859.

Adding to 1313212230 its reverse (322123131), we get a palindrome (1635335361).

The spelling of 1313212230 in words is "one billion, three hundred thirteen million, two hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 139 165 198 270 278 297 330 417 495 594 695 834 990 1251 1390 1485 1529 2085 2502 2970 3058 3181 3753 4170 4587 6255 6362 7506 7645 9174 9543 12510 13761 15290 15905 18765 19086 22935 27522 28629 31810 34991 37530 41283 45870 47715 57258 68805 69982 82566 85887 95430 104973 137610 143145 171774 174955 206415 209946 286290 314919 349910 412830 429435 442159 524865 629838 858870 884318 944757 1049730 1326477 1574595 1889514 2210795 2652954 3149190 3979431 4421590 4723785 4863749 6632385 7958862 9447570 9727498 11938293 13264770 14591247 19897155 23876586 24318745 29182494 39794310 43773741 48637490 59691465 72956235 87547482 119382930 131321223 145912470 218868705 262642446 437737410 656606115 1313212230