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110001211320 = 233573112131699
BaseRepresentation
bin110011001110010010…
…1010100011110111000
3101111221011200111222210
41212130211110132320
53300240302230240
6122311151415120
710642634604000
oct1463445243670
9344834614883
10110001211320
11427188a8200
121939b2244a0
13a4b0832370
14547741b000
152cdc286780
hex199c9547b8

110001211320 has 768 divisors, whose sum is σ = 455817600000. Its totient is φ = 21086714880.

The previous prime is 110001211267. The next prime is 110001211373. The reversal of 110001211320 is 23112100011.

It is an interprime number because it is at equal distance from previous prime (110001211267) and next prime (110001211373).

It is a super-2 number, since 2×1100012113202 (a number of 23 digits) contains 22 as substring.

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 = 110001211296 and 110001211305.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 64743831 + ... + 64745529.

It is an arithmetic number, because the mean of its divisors is an integer number (593512500).

Almost surely, 2110001211320 is an apocalyptic number.

110001211320 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 110001211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227908800000).

110001211320 is an abundant number, since it is smaller than the sum of its proper divisors (345816388680).

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

110001211320 is a wasteful number, since it uses less digits than its factorization.

110001211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1740 counting only the distinct ones).

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

Adding to 110001211320 its reverse (23112100011), we get a palindrome (133113311331).

The spelling of 110001211320 in words is "one hundred ten billion, one million, two hundred eleven thousand, three hundred twenty".