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1013310330 = 2351731107599
BaseRepresentation
bin111100011001011…
…110001101111010
32121121201111110020
4330121132031322
54033401412310
6244314431310
734052665344
oct7431361572
92547644406
101013310330
1147aa9505a
12243432536
13131c1a716
1498814294
155de60170
hex3c65e37a

1013310330 has 128 divisors (see below), whose sum is σ = 2687385600. Its totient is φ = 243409920.

The previous prime is 1013310323. The next prime is 1013310341. The reversal of 1013310330 is 330133101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1691371 + ... + 1691969.

It is an arithmetic number, because the mean of its divisors is an integer number (20995200).

Almost surely, 21013310330 is an apocalyptic number.

1013310330 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 1013310330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343692800).

1013310330 is an abundant number, since it is smaller than the sum of its proper divisors (1674075270).

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

1013310330 is a wasteful number, since it uses less digits than its factorization.

1013310330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1013310330 is about 31832.5357142657. The cubic root of 1013310330 is about 1004.4172359634.

Adding to 1013310330 its reverse (330133101), we get a palindrome (1343443431).

The spelling of 1013310330 in words is "one billion, thirteen million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 107 155 170 186 214 255 310 321 465 510 527 535 599 642 930 1054 1070 1198 1581 1605 1797 1819 2635 2995 3162 3210 3317 3594 3638 5270 5457 5990 6634 7905 8985 9095 9951 10183 10914 15810 16585 17970 18190 18569 19902 20366 27285 30549 33170 37138 49755 50915 54570 55707 56389 61098 64093 92845 99510 101830 111414 112778 128186 152745 169167 185690 192279 278535 281945 305490 315673 320465 338334 384558 557070 563890 631346 640930 845835 947019 961395 1089581 1578365 1691670 1894038 1922790 1986883 2179162 3156730 3268743 3973766 4735095 5447905 5960649 6537486 9470190 9934415 10895810 11921298 16343715 19868830 29803245 32687430 33777011 59606490 67554022 101331033 168885055 202662066 337770110 506655165 1013310330