Search a number
-
+
11101114420 = 22511195414909
BaseRepresentation
bin10100101011010110…
…11001000000110100
31001122122201001010221
422111223121000310
5140213341130140
65033315224124
7542044626034
oct122553310064
931578631127
1011101114420
114787320630
1221998a8044
13107bb6b476
147744b18c4
1544e8b414a
hex295ad9034

11101114420 has 96 divisors (see below), whose sum is σ = 26825097600. Its totient is φ = 3816460800.

The previous prime is 11101114411. The next prime is 11101114429. The reversal of 11101114420 is 2441110111.

It is an interprime number because it is at equal distance from previous prime (11101114411) and next prime (11101114429).

It is a junction number, because it is equal to n+sod(n) for n = 11101114394 and 11101114403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101114429) 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, 2258926 + ... + 2263834.

It is an arithmetic number, because the mean of its divisors is an integer number (279428100).

Almost surely, 211101114420 is an apocalyptic number.

11101114420 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 11101114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13412548800).

11101114420 is an abundant number, since it is smaller than the sum of its proper divisors (15723983180).

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

11101114420 is a wasteful number, since it uses less digits than its factorization.

11101114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11101114420 its reverse (2441110111), we get a palindrome (13542224531).

It can be divided in two parts, 11101 and 114420, that added together give a palindrome (125521).

The spelling of 11101114420 in words is "eleven billion, one hundred one million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 541 836 1045 1082 2090 2164 2705 4180 4909 5410 5951 9818 10279 10820 11902 19636 20558 23804 24545 29755 41116 49090 51395 53999 59510 93271 98180 102790 107998 113069 119020 186542 205580 215996 226138 269995 373084 452276 466355 539990 565345 932710 1025981 1079980 1130690 1865420 2051962 2261380 2655769 4103924 5129905 5311538 10259810 10623076 13278845 20519620 26557690 29213459 50459611 53115380 58426918 100919222 116853836 146067295 201838444 252298055 292134590 504596110 555055721 584269180 1009192220 1110111442 2220222884 2775278605 5550557210 11101114420