Search a number
-
+
1113030202320 = 243253741780413
BaseRepresentation
bin10000001100100101110…
…001010001001111010000
310221101220222200121222200
4100030211301101033100
5121213441212433240
62211152524003200
7143261632422411
oct20144561211720
93841828617880
101113030202320
1139a040594943
1215b867690500
1380c5c4c306a
143bc29c55808
151de448bb930
hex10325c513d0

1113030202320 has 120 divisors (see below), whose sum is σ = 3838951559976. Its totient is φ = 288786207744.

The previous prime is 1113030202289. The next prime is 1113030202321. The reversal of 1113030202320 is 232020303111.

1113030202320 is a `hidden beast` number, since 1 + 1 + 130 + 302 + 0 + 232 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 467347242384 + 645682959936 = 683628^2 + 803544^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1113030202293 and 1113030202302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113030202321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20863567 + ... + 20916846.

Almost surely, 21113030202320 is an apocalyptic number.

1113030202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1113030202320 is an abundant number, since it is smaller than the sum of its proper divisors (2725921357656).

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

1113030202320 is a wasteful number, since it uses less digits than its factorization.

1113030202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41780469 (or 41780460 counting only the distinct ones).

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

Adding to 1113030202320 its reverse (232020303111), we get a palindrome (1345050505431).

The spelling of 1113030202320 in words is "one trillion, one hundred thirteen billion, thirty million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 41780413 83560826 125341239 167121652 208902065 250682478 334243304 376023717 417804130 501364956 626706195 668486608 752047434 835608260 1002729912 1253412390 1504094868 1545875281 1671216520 1880118585 2005459824 2506824780 3008189736 3091750562 3342433040 3760237170 4637625843 5013649560 6016379472 6183501124 7520474340 7729376405 9275251686 10027299120 12367002248 13912877529 15040948680 15458752810 18550503372 23188129215 24734004496 27825755058 30081897360 30917505620 37101006744 46376258430 55651510116 61835011240 69564387645 74202013488 92752516860 111303020232 123670022480 139128775290 185505033720 222606040464 278257550580 371010067440 556515101160 1113030202320