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313003302320 = 245173113675431
BaseRepresentation
bin1001000111000000111…
…00110101110110110000
31002220220201221020010202
410203200130311312300
520112012321133240
6355443003014332
731420341112622
oct4434034656660
91086821836122
10313003302320
11110820227845
12507b420a3a8
1323692ab8737
14112140cac12
15821e064315
hex48e0735db0

313003302320 has 160 divisors (see below), whose sum is σ = 796125044736. Its totient is φ = 113930956800.

The previous prime is 313003302317. The next prime is 313003302389. The reversal of 313003302320 is 23203300313.

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 = 313003302292 and 313003302301.

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, 57630005 + ... + 57635435.

Almost surely, 2313003302320 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 313003302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398062522368).

313003302320 is an abundant number, since it is smaller than the sum of its proper divisors (483121742416).

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

313003302320 is a wasteful number, since it uses less digits than its factorization.

313003302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6853 counting only the distinct ones).

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

Adding to 313003302320 its reverse (23203300313), we get a palindrome (336206602633).

The spelling of 313003302320 in words is "three hundred thirteen billion, three million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 1367 2108 2480 2635 2734 4216 5270 5431 5468 6835 8432 10540 10862 10936 13670 21080 21724 21872 23239 27155 27340 42160 42377 43448 46478 54310 54680 84754 86896 92327 92956 108620 109360 116195 168361 169508 184654 185912 211885 217240 232390 336722 339016 369308 371824 423770 434480 461635 464780 673444 678032 720409 738616 841805 847540 923270 929560 1346888 1440818 1477232 1683610 1695080 1846540 1859120 2693776 2862137 2881636 3367220 3390160 3602045 3693080 5724274 5763272 6734440 7204090 7386160 7424177 11448548 11526544 13468880 14310685 14408180 14848354 22897096 28621370 28816360 29696708 37120885 45794192 57242740 57632720 59393416 74241770 114485480 118786832 126211009 148483540 228970960 230149487 252422018 296967080 460298974 504844036 593934160 631055045 920597948 1009688072 1150747435 1262110090 1841195896 2019376144 2301494870 2524220180 3682391792 3912541279 4602989740 5048440360 7825082558 9205979480 10096880720 15650165116 18411958960 19562706395 31300330232 39125412790 62600660464 78250825580 156501651160 313003302320