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11303130002220 = 223257371489162829
BaseRepresentation
bin1010010001111011011100…
…0011000111001100101100
31111000120100120020021220200
42210132313003013030230
52440142302240032340
640012330343313500
72244424045531620
oct244366703071454
944016316207820
1011303130002220
1136686a323a201
12132675744b890
1363cb5a853984
142b1108281180
15149048a3b330
hexa47b70c732c

11303130002220 has 288 divisors, whose sum is σ = 40270490332800. Its totient is φ = 2512042647552.

The previous prime is 11303130002207. The next prime is 11303130002221. The reversal of 11303130002220 is 2220003130311.

11303130002220 is a `hidden beast` number, since 1 + 130 + 313 + 0 + 0 + 0 + 2 + 220 = 666.

11303130002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11303130002193 and 11303130002202.

It is not an unprimeable number, because it can be changed into a prime (11303130002221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69335766 + ... + 69498594.

Almost surely, 211303130002220 is an apocalyptic number.

11303130002220 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 11303130002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20135245166400).

11303130002220 is an abundant number, since it is smaller than the sum of its proper divisors (28967360330580).

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

11303130002220 is a wasteful number, since it uses less digits than its factorization.

11303130002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164377 (or 164372 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11303130002220 its reverse (2220003130311), we get a palindrome (13523133132531).

The spelling of 11303130002220 in words is "eleven trillion, three hundred three billion, one hundred thirty million, two thousand, two hundred twenty".