Search a number
-
+
10200202320 = 2435711551959
BaseRepresentation
bin10010111111111101…
…01011110001010000
3222022212110222002010
421133332223301100
5131342222433240
64404053422520
7510525201120
oct113776536120
928285428063
1010200202320
114364825a80
121b8803aa40
13c67315899
146ca998c80
153ea757280
hex25ffabc50

10200202320 has 160 divisors (see below), whose sum is σ = 39423191040. Its totient is φ = 2119518720.

The previous prime is 10200202319. The next prime is 10200202321. The reversal of 10200202320 is 2320200201.

It is an interprime number because it is at equal distance from previous prime (10200202319) and next prime (10200202321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200202296 and 10200202305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200202321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257500 + ... + 294459.

It is an arithmetic number, because the mean of its divisors is an integer number (246394944).

Almost surely, 210200202320 is an apocalyptic number.

10200202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200202320 is an abundant number, since it is smaller than the sum of its proper divisors (29222988720).

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

10200202320 is a wasteful number, since it uses less digits than its factorization.

10200202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551993 (or 551987 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10200202320 its reverse (2320200201), we get a palindrome (12520402521).

The spelling of 10200202320 in words is "ten billion, two hundred million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 551959 1103918 1655877 2207836 2759795 3311754 3863713 4415672 5519590 6071549 6623508 7727426 8279385 8831344 11039180 11591139 12143098 13247016 15454852 16558770 18214647 19318565 22078360 23182278 24286196 26494032 30357745 30909704 33117540 36429294 38637130 42500843 44156720 46364556 48572392 57955695 60715490 61819408 66235080 72858588 77274260 85001686 91073235 92729112 97144784 115911390 121430980 127502529 132470160 145717176 154548520 170003372 182146470 185458224 212504215 231822780 242861960 255005058 291434352 309097040 340006744 364292940 425008430 463645560 485723920 510010116 637512645 680013488 728585880 850016860 927291120 1020020232 1275025290 1457171760 1700033720 2040040464 2550050580 3400067440 5100101160 10200202320