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11304024130100 = 22521320394264543
BaseRepresentation
bin1010010001111110110001…
…0101111100001000110100
31111000122122212200200210002
42210133230111330020310
52440201120134130400
640012555203450432
72244455153512502
oct244375425741064
944018585620702
1011304024130100
113669011a20769
121326966986a18
1363cc70b72620
142b1190d0d672
1514909c2a7ed5
hexa47ec57c234

11304024130100 has 72 divisors (see below), whose sum is σ = 26429596730880. Its totient is φ = 4171745566080.

The previous prime is 11304024130093. The next prime is 11304024130103. The reversal of 11304024130100 is 103142040311.

11304024130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113040241301003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304024130103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518429 + ... + 4782971.

Almost surely, 211304024130100 is an apocalyptic number.

11304024130100 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 11304024130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214798365440).

11304024130100 is an abundant number, since it is smaller than the sum of its proper divisors (15125572600780).

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

11304024130100 is a wasteful number, since it uses less digits than its factorization.

11304024130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266609 (or 4266602 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11304024130100 its reverse (103142040311), we get a palindrome (11407166170411).

The spelling of 11304024130100 in words is "eleven trillion, three hundred four billion, twenty-four million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2039 4078 8156 10195 20390 26507 40780 50975 53014 101950 106028 132535 203900 265070 530140 662675 1325350 2650700 4264543 8529086 17058172 21322715 42645430 55439059 85290860 106613575 110878118 213227150 221756236 277195295 426454300 554390590 1108781180 1385976475 2771952950 5543905900 8695403177 17390806354 34781612708 43477015885 86954031770 113040241301 173908063540 217385079425 226080482602 434770158850 452160965204 565201206505 869540317700 1130402413010 2260804826020 2826006032525 5652012065050 11304024130100