Search a number
-
+
253341014100 = 223522336716089
BaseRepresentation
bin1110101111110001001…
…1010001100001010100
3220012220202210221212020
43223330103101201110
513122320244422400
6312214441053140
724206012042436
oct3537423214124
9805822727766
10253341014100
1198494441629
12411234871b0
131ab75301505
14c394426656
1568cb2be2a0
hex3afc4d1854

253341014100 has 72 divisors (see below), whose sum is σ = 764869586880. Its totient is φ = 64620314880.

The previous prime is 253341014089. The next prime is 253341014111. The reversal of 253341014100 is 1410143352.

It is a happy number.

253341014100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253341014089) and next prime (253341014111).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18351145 + ... + 18364944.

Almost surely, 2253341014100 is an apocalyptic number.

253341014100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253341014100 is an abundant number, since it is smaller than the sum of its proper divisors (511528572780).

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

253341014100 is a wasteful number, since it uses less digits than its factorization.

253341014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36716129 (or 36716122 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 253341014100 its reverse (1410143352), we get a palindrome (254751157452).

The spelling of 253341014100 in words is "two hundred fifty-three billion, three hundred forty-one million, fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 36716089 73432178 110148267 146864356 183580445 220296534 367160890 440593068 550741335 734321780 844470047 917902225 1101482670 1688940094 1835804450 2202965340 2533410141 2753706675 3377880188 3671608900 4222350235 5066820282 5507413350 8444700470 10133640564 11014826700 12667050705 16889400940 21111751175 25334101410 42223502350 50668202820 63335253525 84447004700 126670507050 253341014100