Search a number
-
+
11121413430 = 23517167130579
BaseRepresentation
bin10100101101110001…
…10100110100110110
31001201001220100011010
422112320310310312
5140234040212210
65035322253050
7542412311601
oct122670646466
931631810133
1011121413430
114797825576
1221a4657186
131083127a0a
14777077338
15451573920
hex296e34d36

11121413430 has 64 divisors (see below), whose sum is σ = 28430922240. Its totient is φ = 2774521344.

The previous prime is 11121413423. The next prime is 11121413441. The reversal of 11121413430 is 3431412111.

It is a junction number, because it is equal to n+sod(n) for n = 11121413397 and 11121413406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19881 + ... + 150459.

It is an arithmetic number, because the mean of its divisors is an integer number (444233160).

Almost surely, 211121413430 is an apocalyptic number.

11121413430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121413430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215461120).

11121413430 is an abundant number, since it is smaller than the sum of its proper divisors (17309508810).

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

11121413430 is a wasteful number, since it uses less digits than its factorization.

11121413430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130773.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11121413430 its reverse (3431412111), we get a palindrome (14552825541).

The spelling of 11121413430 in words is "eleven billion, one hundred twenty-one million, four hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 167 170 255 334 501 510 835 1002 1670 2505 2839 5010 5678 8517 14195 17034 28390 42585 85170 130579 261158 391737 652895 783474 1305790 1958685 2219843 3917370 4439686 6659529 11099215 13319058 21806693 22198430 33297645 43613386 65420079 66595290 109033465 130840158 218066930 327100395 370713781 654200790 741427562 1112141343 1853568905 2224282686 3707137810 5560706715 11121413430