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5313303100 = 2252783109839
BaseRepresentation
bin1001111001011001…
…01001001000111100
3111201021220202121201
410330230221020330
541340201144400
62235122305244
7245445221410
oct47454511074
914637822551
105313303100
112287248296
1210434b8224
13668a36841
14385938d40
152116e206a
hex13cb2923c

5313303100 has 144 divisors (see below), whose sum is σ = 13474137600. Its totient is φ = 1781118720.

The previous prime is 5313303059. The next prime is 5313303103. The reversal of 5313303100 is 13033135.

It is a super-2 number, since 2×53133031002 = 56462379664939220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5313303103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6332481 + ... + 6333319.

It is an arithmetic number, because the mean of its divisors is an integer number (93570400).

Almost surely, 25313303100 is an apocalyptic number.

5313303100 is a gapful number since it is divisible by the number (50) 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 5313303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737068800).

5313303100 is an abundant number, since it is smaller than the sum of its proper divisors (8160834500).

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

5313303100 is a wasteful number, since it uses less digits than its factorization.

5313303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 5313303100 is about 72892.4076979215. The cubic root of 5313303100 is about 1744.9709329783.

Adding to 5313303100 its reverse (13033135), we get a palindrome (5326336235).

The spelling of 5313303100 in words is "five billion, three hundred thirteen million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 109 140 166 175 218 332 350 415 436 545 581 700 763 830 839 1090 1162 1526 1660 1678 2075 2180 2324 2725 2905 3052 3356 3815 4150 4195 5450 5810 5873 7630 8300 8390 9047 10900 11620 11746 14525 15260 16780 18094 19075 20975 23492 29050 29365 36188 38150 41950 45235 58100 58730 63329 69637 76300 83900 90470 91451 117460 126658 139274 146825 180940 182902 226175 253316 278548 293650 316645 348185 365804 452350 457255 487459 587300 633290 640157 696370 904700 914510 974918 1266580 1280314 1392740 1583225 1740925 1829020 1949836 2286275 2437295 2560628 3166450 3200785 3481850 4572550 4874590 6332900 6401570 6963700 7590433 9145100 9749180 12186475 12803140 15180866 16003925 24372950 30361732 32007850 37952165 48745900 53133031 64015700 75904330 106266062 151808660 189760825 212532124 265665155 379521650 531330310 759043300 1062660620 1328325775 2656651550 5313303100