Search a number
-
+
20113310304 = 2532416732531
BaseRepresentation
bin10010101110110110…
…001100001001100000
31220220201202000202200
4102232312030021200
5312143001412204
613123454013200
71311266213433
oct225666141140
956821660680
1020113310304
1185914917aa
123a93aa7200
131b86ccb959
14d8b37d81a
157cab9e539
hex4aed8c260

20113310304 has 144 divisors (see below), whose sum is σ = 58702526064. Its totient is φ = 6528614400.

The previous prime is 20113310251. The next prime is 20113310323. The reversal of 20113310304 is 40301331102.

20113310304 is a `hidden beast` number, since 20 + 11 + 331 + 0 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7945519 + ... + 7948049.

It is an arithmetic number, because the mean of its divisors is an integer number (407656431).

Almost surely, 220113310304 is an apocalyptic number.

20113310304 is a gapful number since it is divisible by the number (24) 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 20113310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29351263032).

20113310304 is an abundant number, since it is smaller than the sum of its proper divisors (38589215760).

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

20113310304 is a wasteful number, since it uses less digits than its factorization.

20113310304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20113310304 its reverse (40301331102), we get a palindrome (60414641406).

The spelling of 20113310304 in words is "twenty billion, one hundred thirteen million, three hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 673 738 984 1312 1346 1476 1968 2019 2531 2692 2952 3936 4038 5062 5384 5904 6057 7593 8076 10124 10768 11808 12114 15186 16152 20248 21536 22779 24228 27593 30372 32304 40496 45558 48456 55186 60744 64608 80992 82779 91116 96912 103771 110372 121488 165558 182232 193824 207542 220744 242976 248337 311313 331116 364464 415084 441488 496674 622626 662232 728928 830168 882976 933939 993348 1245252 1324464 1660336 1703363 1867878 1986696 2490504 2648928 3320672 3406726 3735756 3973392 4981008 5110089 6813452 7471512 7946784 9962016 10220178 13626904 14943024 15330267 20440356 27253808 29886048 30660534 40880712 54507616 61321068 69837883 81761424 122642136 139675766 163522848 209513649 245284272 279351532 419027298 490568544 558703064 628540947 838054596 1117406128 1257081894 1676109192 2234812256 2514163788 3352218384 5028327576 6704436768 10056655152 20113310304