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11303110012032 = 273229467724487
BaseRepresentation
bin1010010001111011010111…
…0110110110110010000000
31111000120022011121200112100
42210132311312312302000
52440142232130341112
640012324351030400
72244423413603316
oct244366566666200
944016264550470
1011303110012032
113668692a26293
12132675080b400
1363cb56674b67
142b110575a0b6
15149046ddd2dc
hexa47b5db6c80

11303110012032 has 192 divisors, whose sum is σ = 33719555188800. Its totient is φ = 3629987837952.

The previous prime is 11303110011983. The next prime is 11303110012081. The reversal of 11303110012032 is 23021001130311.

11303110012032 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 (11303110011983) and next prime (11303110012081).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11303110011996 and 11303110012014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15239293 + ... + 15963779.

It is an arithmetic number, because the mean of its divisors is an integer number (175622683275).

Almost surely, 211303110012032 is an apocalyptic number.

11303110012032 is a gapful number since it is divisible by the number (12) 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 11303110012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859777594400).

11303110012032 is an abundant number, since it is smaller than the sum of its proper divisors (22416445176768).

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

11303110012032 is a wasteful number, since it uses less digits than its factorization.

11303110012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725003 (or 724988 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11303110012032 its reverse (23021001130311), we get a palindrome (34324111142343).

The spelling of 11303110012032 in words is "eleven trillion, three hundred three billion, one hundred ten million, twelve thousand, thirty-two".