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11242401252030 = 23251319135022943
BaseRepresentation
bin1010001110011001001101…
…0101010100001010111110
31110210202121021101010211200
42203212103111110022332
52433143414210031110
635524404323400330
72240144116631034
oct243462325241276
943722537333750
1011242401252030
11364496a466363
121316a295230a6
1363720012c270
142ac1c6acc554
151476923376c0
hexa39935542be

11242401252030 has 96 divisors (see below), whose sum is σ = 31495184937216. Its totient is φ = 2765913149952.

The previous prime is 11242401251989. The next prime is 11242401252031. The reversal of 11242401252030 is 3025210424211.

11242401252030 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 401 + 252 + 0 + 3 + 0 = 666.

11242401252030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11242401251985 and 11242401252003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242401252031) 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, 273262 + ... + 4749681.

It is an arithmetic number, because the mean of its divisors is an integer number (328074843096).

Almost surely, 211242401252030 is an apocalyptic number.

11242401252030 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 11242401252030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15747592468608).

11242401252030 is an abundant number, since it is smaller than the sum of its proper divisors (20252783685186).

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

11242401252030 is a wasteful number, since it uses less digits than its factorization.

11242401252030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024882 (or 5024879 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11242401252030 its reverse (3025210424211), we get a palindrome (14267611676241).

The spelling of 11242401252030 in words is "eleven trillion, two hundred forty-two billion, four hundred one million, two hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1913 3826 5739 9565 11478 17217 19130 24869 28695 34434 49738 57390 74607 86085 124345 149214 172170 223821 248690 373035 447642 746070 1119105 2238210 5022943 10045886 15068829 25114715 30137658 45206487 50229430 65298259 75344145 90412974 130596518 150688290 195894777 226032435 326491295 391789554 452064870 587684331 652982590 979473885 1175368662 1958947770 2938421655 5876843310 9608889959 19217779918 28826669877 48044449795 57653339754 86480009631 96088899590 124915569467 144133349385 172960019262 249831138934 288266698770 374746708401 432400048155 624577847335 749493416802 864800096310 1124240125203 1249155694670 1873733542005 2248480250406 3747467084010 5621200626015 11242401252030