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11044231441100 = 2252111322311632221
BaseRepresentation
bin1010000010110110111101…
…1111011110101011001100
31110002211002110220200202122
42200231233133132223030
52421422041222103400
635253352212512112
72216630231215154
oct240555737365314
943084073820678
1011044231441100
1135789177a9310
1212a454291b638
1362160b040200
142a2787b01764
151424448d1685
hexa0b6f7deacc

11044231441100 has 432 divisors, whose sum is σ = 29580148249344. Its totient is φ = 3541329792000.

The previous prime is 11044231441063. The next prime is 11044231441151. The reversal of 11044231441100 is 114413244011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11044231441100.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4972637990 + ... + 4972640210.

It is an arithmetic number, because the mean of its divisors is an integer number (68472565392).

Almost surely, 211044231441100 is an apocalyptic number.

11044231441100 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 11044231441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790074124672).

11044231441100 is an abundant number, since it is smaller than the sum of its proper divisors (18535916808244).

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

11044231441100 is a wasteful number, since it uses less digits than its factorization.

11044231441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 11044231441100 its reverse (114413244011), we get a palindrome (11158644685111).

The spelling of 11044231441100 in words is "eleven trillion, forty-four billion, two hundred thirty-one million, four hundred forty-one thousand, one hundred".