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11023223322100 = 225211173153499719
BaseRepresentation
bin1010000001101000101101…
…0011110111010111110100
31110000210212101102200020011
42200122023103313113310
52421101030132301400
635235555431550004
72215254515153623
oct240321323672764
943023771380204
1011023223322100
11356aa172105a0
1212a045b22b304
1361c640844a72
142a17539976ba
15141b153cd8ba
hexa068b4f75f4

11023223322100 has 576 divisors, whose sum is σ = 29158133760000. Its totient is φ = 3569918976000.

The previous prime is 11023223322079. The next prime is 11023223322103. The reversal of 11023223322100 is 122332232011.

It is a super-2 number, since 2×110232233221002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023223322103) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 15331325541 + ... + 15331326259.

It is an arithmetic number, because the mean of its divisors is an integer number (50621760000).

Almost surely, 211023223322100 is an apocalyptic number.

11023223322100 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 11023223322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14579066880000).

11023223322100 is an abundant number, since it is smaller than the sum of its proper divisors (18134910437900).

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

11023223322100 is a wasteful number, since it uses less digits than its factorization.

11023223322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11023223322100 its reverse (122332232011), we get a palindrome (11145555554111).

The spelling of 11023223322100 in words is "eleven trillion, twenty-three billion, two hundred twenty-three million, three hundred twenty-two thousand, one hundred".