Search a number
-
+
11401430220 = 22325435924967
BaseRepresentation
bin10101001111001010…
…00000010011001100
31002102120210122222100
422213211000103030
5141322231231340
65123204115100
7552352362225
oct124745002314
932376718870
1011401430220
1149208a0304
122262395a90
1310c9149c1b
147a232824c
1546ae36830
hex2a79404cc

11401430220 has 144 divisors (see below), whose sum is σ = 35989873920. Its totient is φ = 2919224448.

The previous prime is 11401430197. The next prime is 11401430221. The reversal of 11401430220 is 2203410411.

11401430220 is a `hidden beast` number, since 1 + 1 + 401 + 43 + 0 + 220 = 666.

It is a super-2 number, since 2×114014302202 (a number of 21 digits) contains 22 as substring.

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 = 11401430193 and 11401430202.

It is not an unprimeable number, because it can be changed into a prime (11401430221) 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, 444177 + ... + 469143.

It is an arithmetic number, because the mean of its divisors is an integer number (249929680).

Almost surely, 211401430220 is an apocalyptic number.

11401430220 is a gapful number since it is divisible by the number (10) 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 11401430220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994936960).

11401430220 is an abundant number, since it is smaller than the sum of its proper divisors (24588443700).

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

11401430220 is a wasteful number, since it uses less digits than its factorization.

11401430220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25084 (or 25079 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11401430220 its reverse (2203410411), we get a palindrome (13604840631).

The spelling of 11401430220 in words is "eleven billion, four hundred one million, four hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 59 60 86 90 118 129 172 177 180 215 236 258 295 354 387 430 516 531 590 645 708 774 860 885 1062 1180 1290 1548 1770 1935 2124 2537 2580 2655 3540 3870 5074 5310 7611 7740 10148 10620 12685 15222 22833 24967 25370 30444 38055 45666 49934 50740 74901 76110 91332 99868 114165 124835 149802 152220 224703 228330 249670 299604 374505 449406 456660 499340 749010 898812 1073581 1123515 1473053 1498020 2147162 2247030 2946106 3220743 4294324 4419159 4494060 5367905 5892212 6441486 7365265 8838318 9662229 10735810 12882972 13257477 14730530 16103715 17676636 19324458 21471620 22095795 26514954 29461060 32207430 38648916 44191590 48311145 53029908 63341279 64414860 66287385 88383180 96622290 126682558 132574770 190023837 193244580 253365116 265149540 316706395 380047674 570071511 633412790 760095348 950119185 1140143022 1266825580 1900238370 2280286044 2850357555 3800476740 5700715110 11401430220