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11320212211980 = 22357253311233599
BaseRepresentation
bin1010010010111011000100…
…1110100100100100001100
31111002012110001102110102020
42210232301032210210030
52440432243311240410
640024233402330140
72245600261111500
oct244566116444414
944065401373366
1011320212211980
113674969749231
121329b241b9950
1364165089c1b9
142b1c88c40300
151496e8551a70
hexa4bb13a490c

11320212211980 has 288 divisors, whose sum is σ = 37688194252800. Its totient is φ = 2530483038720.

The previous prime is 11320212211961. The next prime is 11320212211981. The reversal of 11320212211980 is 8911221202311.

It is a super-2 number, since 2×113202122119802 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11320212211981) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 48343221 + ... + 48576819.

It is an arithmetic number, because the mean of its divisors is an integer number (130861785600).

Almost surely, 211320212211980 is an apocalyptic number.

11320212211980 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 11320212211980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844097126400).

11320212211980 is an abundant number, since it is smaller than the sum of its proper divisors (26367982040820).

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

11320212211980 is a wasteful number, since it uses less digits than its factorization.

11320212211980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233989 (or 233980 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 11320212211980 in words is "eleven trillion, three hundred twenty billion, two hundred twelve million, two hundred eleven thousand, nine hundred eighty".