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11220202000000 = 2756731103251
BaseRepresentation
bin1010001101000110100000…
…1001111000111010000000
31110201122022011120021222001
42203101220021320322000
52432312433203000000
635510253432353344
72235430031251450
oct243215011707200
943648264507861
1011220202000000
113636508578784
121312672b45854
136350a2c25586
142ab0bc6c1d60
15146ce349b46a
hexa3468278e80

11220202000000 has 896 divisors, whose sum is σ = 33414772285440. Its totient is φ = 3672000000000.

The previous prime is 11220201999991. The next prime is 11220202000013. The reversal of 11220202000000 is 20202211.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 44701999875 + ... + 44702000125.

It is an arithmetic number, because the mean of its divisors is an integer number (37293272640).

Almost surely, 211220202000000 is an apocalyptic number.

11220202000000 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 11220202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707386142720).

11220202000000 is an abundant number, since it is smaller than the sum of its proper divisors (22194570285440).

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

11220202000000 is an frugal number, since it uses more digits than its factorization.

11220202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11220202000000 its reverse (20202211), we get a palindrome (11220222202211).

The spelling of 11220202000000 in words is "eleven trillion, two hundred twenty billion, two hundred two million", and thus it is an aban number.