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11023444123020 = 22335779131281791
BaseRepresentation
bin1010000001101001100001…
…1110001001110110001100
31110000211102202220112011000
42200122120132021312030
52421102003143414040
635240033400300300
72215263136014240
oct240323036116614
943024382815130
1011023444123020
11357001a91059a
1212a0501171690
1361c677502bb4
142a1775032420
15141b29996130
hexa0698789d8c

11023444123020 has 384 divisors, whose sum is σ = 39993724108800. Its totient is φ = 2468750918400.

The previous prime is 11023444123009. The next prime is 11023444123031. The reversal of 11023444123020 is 2032144432011.

11023444123020 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 344 + 4 + 12 + 302 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11023444123009) and next prime (11023444123031).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 38978325 + ... + 39260115.

It is an arithmetic number, because the mean of its divisors is an integer number (104150323200).

Almost surely, 211023444123020 is an apocalyptic number.

11023444123020 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 11023444123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19996862054400).

11023444123020 is an abundant number, since it is smaller than the sum of its proper divisors (28970279985780).

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

11023444123020 is a wasteful number, since it uses less digits than its factorization.

11023444123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282026 (or 282018 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11023444123020 its reverse (2032144432011), we get a palindrome (13055588555031).

The spelling of 11023444123020 in words is "eleven trillion, twenty-three billion, four hundred forty-four million, one hundred twenty-three thousand, twenty".