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11220011310300 = 223521347131467261
BaseRepresentation
bin1010001101000101110011…
…0010011101110011011100
31110201121210212202020212120
42203101130302131303130
52432312040343412200
635510222501302540
72235422224362012
oct243213462356334
943647725666776
1011220011310300
11363641a974791
12131261b104a50
1363507257ac30
142ab0a12448b2
15146cd18809a0
hexa345cc9dcdc

11220011310300 has 288 divisors, whose sum is σ = 35976871332864. Its totient is φ = 2682446208000.

The previous prime is 11220011310283. The next prime is 11220011310317. The reversal of 11220011310300 is 301311002211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11220011310283) and next prime (11220011310317).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11220011310300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23778670 + ... + 24245930.

It is an arithmetic number, because the mean of its divisors is an integer number (124919692128).

Almost surely, 211220011310300 is an apocalyptic number.

11220011310300 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 11220011310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17988435666432).

11220011310300 is an abundant number, since it is smaller than the sum of its proper divisors (24756860022564).

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

11220011310300 is a wasteful number, since it uses less digits than its factorization.

11220011310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467469 (or 467462 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11220011310300 its reverse (301311002211), we get a palindrome (11521322312511).

The spelling of 11220011310300 in words is "eleven trillion, two hundred twenty billion, eleven million, three hundred ten thousand, three hundred".