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11010222031032 = 23327421308316831
BaseRepresentation
bin1010000000111000010001…
…0111111000000010111000
31102222120022022012122202100
42200032010113320002320
52420342413314443112
635230005353103400
72214314365051140
oct240160427700270
942876268178670
1011010222031032
113565455334144
121299a310b7b60
1361b34b110523
142a0c7cdb3920
15141603cc42dc
hexa03845f80b8

11010222031032 has 192 divisors, whose sum is σ = 34173317468160. Its totient is φ = 3137101228800.

The previous prime is 11010222031027. The next prime is 11010222031057. The reversal of 11010222031032 is 23013022201011.

11010222031032 is a `hidden beast` number, since 1 + 1 + 0 + 102 + 220 + 310 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11010222030996 and 11010222031014.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 654154857 + ... + 654171687.

It is an arithmetic number, because the mean of its divisors is an integer number (177986028480).

Almost surely, 211010222031032 is an apocalyptic number.

11010222031032 is a gapful number since it is divisible by the number (12) 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 11010222031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17086658734080).

11010222031032 is an abundant number, since it is smaller than the sum of its proper divisors (23163095437128).

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

11010222031032 is a wasteful number, since it uses less digits than its factorization.

11010222031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20354 (or 20347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11010222031032 its reverse (23013022201011), we get a palindrome (34023244232043).

The spelling of 11010222031032 in words is "eleven trillion, ten billion, two hundred twenty-two million, thirty-one thousand, thirty-two".