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110210220120 = 23357111336189
BaseRepresentation
bin110011010100100001…
…0101000000001011000
3101112110201222021011110
41212221002220001120
53301202304020440
6122344015300320
710651053262050
oct1465102500130
9345421867143
10110210220120
1142815883650
121943921a6a0
13a514c22000
1454970a6560
152d007c0080
hex19a90a8058

110210220120 has 1024 divisors, whose sum is σ = 458970624000. Its totient is φ = 20559052800.

The previous prime is 110210220103. The next prime is 110210220149. The reversal of 110210220120 is 21022012011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110210220096 and 110210220105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1238317036 + ... + 1238317124.

It is an arithmetic number, because the mean of its divisors is an integer number (448213500).

Almost surely, 2110210220120 is an apocalyptic number.

110210220120 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 110210220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229485312000).

110210220120 is an abundant number, since it is smaller than the sum of its proper divisors (348760403880).

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

110210220120 is a wasteful number, since it uses less digits than its factorization.

110210220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110210220120 its reverse (21022012011), we get a palindrome (131232232131).

The spelling of 110210220120 in words is "one hundred ten billion, two hundred ten million, two hundred twenty thousand, one hundred twenty".