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313003302030 = 233510347923497
BaseRepresentation
bin1001000111000000111…
…00110101110010001110
31002220220201221012202000
410203200130311302032
520112012321131110
6355443003013130
731420341112026
oct4434034656216
91086821835660
10313003302030
11110820227601
12507b420a1a6
1323692ab8573
14112140caa86
15821e0641c0
hex48e0735c8e

313003302030 has 128 divisors (see below), whose sum is σ = 844574515200. Its totient is φ = 82481110272.

The previous prime is 313003301999. The next prime is 313003302047. The reversal of 313003302030 is 30203300313.

313003302030 is a `hidden beast` number, since 3 + 1 + 300 + 330 + 2 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313003301994 and 313003302012.

It is a congruent number.

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, 13309242 + ... + 13332738.

It is an arithmetic number, because the mean of its divisors is an integer number (6598238400).

Almost surely, 2313003302030 is an apocalyptic number.

313003302030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313003302030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422287257600).

313003302030 is an abundant number, since it is smaller than the sum of its proper divisors (531571213170).

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

313003302030 is a wasteful number, since it uses less digits than its factorization.

313003302030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24095 (or 24089 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 313003302030 its reverse (30203300313), we get a palindrome (343206602343).

The spelling of 313003302030 in words is "three hundred thirteen billion, three million, three hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 479 515 618 927 958 1030 1437 1545 1854 2395 2781 2874 3090 4311 4635 4790 5562 7185 8622 9270 12933 13905 14370 21555 23497 25866 27810 43110 46994 49337 64665 70491 98674 117485 129330 140982 148011 211473 234970 246685 296022 352455 422946 444033 493370 634419 704910 740055 888066 1057365 1268838 1332099 1480110 2114730 2220165 2420191 2664198 3172095 4440330 4840382 6344190 6660495 7260573 11255063 12100955 13320990 14521146 21781719 22510126 24201910 33765189 36302865 43563438 56275315 65345157 67530378 72605730 101295567 108908595 112550630 130690314 168825945 202591134 217817190 303886701 326725785 337651890 506477835 607773402 653451570 1012955670 1159271489 1519433505 2318542978 3038867010 3477814467 5796357445 6955628934 10433443401 11592714890 17389072335 20866886802 31300330203 34778144670 52167217005 62600660406 104334434010 156501651015 313003302030