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313303002320 = 245711151336827
BaseRepresentation
bin1001000111100100101…
…00000110110011010000
31002221200121212120020202
410203302110012303100
520113121032033240
6355532430354332
731430640402560
oct4436224066320
91087617776222
10313303002320
111109644168a0
125087865b9a8
132370cc0cb09
1411241c22da0
15823a514315
hex48f2506cd0

313303002320 has 160 divisors (see below), whose sum is σ = 914188916736. Its totient is φ = 97005888000.

The previous prime is 313303002301. The next prime is 313303002347. The reversal of 313303002320 is 23200303313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313303002292 and 313303002301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761747 + ... + 1098573.

Almost surely, 2313303002320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313303002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457094458368).

313303002320 is an abundant number, since it is smaller than the sum of its proper divisors (600885914416).

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

313303002320 is a wasteful number, since it uses less digits than its factorization.

313303002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337009 (or 337003 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 313303002320 its reverse (23200303313), we get a palindrome (336503305633).

The spelling of 313303002320 in words is "three hundred thirteen billion, three hundred three million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 151 154 176 220 280 302 308 385 440 560 604 616 755 770 880 1057 1208 1232 1510 1540 1661 2114 2416 3020 3080 3322 4228 5285 6040 6160 6644 8305 8456 10570 11627 12080 13288 16610 16912 21140 23254 26576 33220 42280 46508 58135 66440 84560 93016 116270 132880 186032 232540 336827 465080 673654 930160 1347308 1684135 2357789 2694616 3368270 3705097 4715578 5389232 6736540 7410194 9431156 11788945 13473080 14820388 18525485 18862312 23577890 25935679 26946160 29640776 37050970 37724624 47155780 50860877 51871358 59281552 74101940 94311560 101721754 103742716 129678395 148203880 188623120 203443508 207485432 254304385 259356790 296407760 356026139 406887016 414970864 508608770 518713580 559469647 712052278 813774032 1017217540 1037427160 1118939294 1424104556 1780130695 2034435080 2074854320 2237878588 2797348235 2848209112 3560261390 3916287529 4068870160 4475757176 5594696470 5696418224 7120522780 7832575058 8951514352 11189392940 14241045560 15665150116 19581437645 22378785880 28482091120 31330300232 39162875290 44757571760 62660600464 78325750580 156651501160 313303002320