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310919020380 = 2232517173358631
BaseRepresentation
bin1001000011001000011…
…01111011111101011100
31002201112110222201211100
410201210031323331130
520043230232123010
6354500105353100
731314602032113
oct4414415737534
91081473881740
10310919020380
1110a950754991
1250312198790
1323420042007
1411097372c7a
15814b0a42c0
hex486437bf5c

310919020380 has 144 divisors (see below), whose sum is σ = 999192003264. Its totient is φ = 77988218880.

The previous prime is 310919020367. The next prime is 310919020409. The reversal of 310919020380 is 83020919013.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5273665 + ... + 5332295.

It is an arithmetic number, because the mean of its divisors is an integer number (6938833356).

Almost surely, 2310919020380 is an apocalyptic number.

310919020380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310919020380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499596001632).

310919020380 is an abundant number, since it is smaller than the sum of its proper divisors (688272982884).

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

310919020380 is a wasteful number, since it uses less digits than its factorization.

310919020380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60396 (or 60391 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 310919020380 its reverse (83020919013), we get a palindrome (393939939393).

The spelling of 310919020380 in words is "three hundred ten billion, nine hundred nineteen million, twenty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 1733 3060 3466 5199 6932 8665 10398 15597 17330 20796 25995 29461 31194 34660 51990 58631 58922 62388 77985 88383 103980 117262 117844 147305 155970 175893 176766 234524 265149 293155 294610 311940 351786 353532 441915 527679 530298 586310 589220 703572 879465 883830 996727 1055358 1060596 1172620 1325745 1758930 1767660 1993454 2110716 2638395 2651490 2990181 3517860 3986908 4983635 5276790 5302980 5980362 8970543 9967270 10553580 11960724 14950905 17941086 19934540 29901810 35882172 44852715 59803620 89705430 101607523 179410860 203215046 304822569 406430092 508037615 609645138 914467707 1016075230 1219290276 1524112845 1727327891 1828935414 2032150460 3048225690 3454655782 3657870828 4572338535 5181983673 6096451380 6909311564 8636639455 9144677070 10363967346 15545951019 17273278910 18289354140 20727934692 25909918365 31091902038 34546557820 51819836730 62183804076 77729755095 103639673460 155459510190 310919020380