Search a number
-
+
20313123133320 = 23325207653271729
BaseRepresentation
bin1001001111001100001000…
…11111010001011110001000
32122220220201110212210000200
410213212010133101132020
510130302234010231240
6111111415301332200
74164401061523203
oct447460437213610
978826643783020
1020313123133320
1165218244a0666
12234099ba07060
13b44699b67494
1450323621c93a
152535ce6ba930
hex1279847d1788

20313123133320 has 96 divisors (see below), whose sum is σ = 66018211061400. Its totient is φ = 5416786814976.

The previous prime is 20313123133307. The next prime is 20313123133351. The reversal of 20313123133320 is 2333132131302.

20313123133320 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 3 + 12 + 313 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10723411214244 + 9589711919076 = 3274662^2 + 3096726^2 .

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, 74619216 + ... + 74890944.

Almost surely, 220313123133320 is an apocalyptic number.

20313123133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20313123133320 is an abundant number, since it is smaller than the sum of its proper divisors (45705087928080).

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

20313123133320 is a wasteful number, since it uses less digits than its factorization.

20313123133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479399 (or 479392 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 20313123133320 its reverse (2333132131302), we get a palindrome (22646255264622).

The spelling of 20313123133320 in words is "twenty trillion, three hundred thirteen billion, one hundred twenty-three million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 207653 271729 415306 543458 622959 815187 830612 1038265 1086916 1245918 1358645 1630374 1661224 1868877 2076530 2173832 2445561 2491836 2717290 3114795 3260748 3737754 4075935 4153060 4891122 4983672 5434580 6229590 6521496 7475508 8151870 8306120 9344385 9782244 10869160 12227805 12459180 14951016 16303740 18688770 19564488 24455610 24918360 32607480 37377540 48911220 74755080 97822440 56425342037 112850684074 169276026111 225701368148 282126710185 338552052222 451402736296 507828078333 564253420370 677104104444 846380130555 1015656156666 1128506840740 1354208208888 1692760261110 2031312313332 2257013681480 2539140391665 3385520522220 4062624626664 5078280783330 6771041044440 10156561566660 20313123133320