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110421402320 = 2453186351593
BaseRepresentation
bin110011011010110100…
…0001110001011010000
3101120000110100102200102
41212311220032023100
53302120334333240
6122421001511532
710656226301435
oct1466550161320
9346013312612
10110421402320
1142914003999
1219497aa25a8
13a5498c2ca8
1454b7159b8c
152d140d7815
hex19b5a0e2d0

110421402320 has 80 divisors (see below), whose sum is σ = 265323589632. Its totient is φ = 42693411840.

The previous prime is 110421402283. The next prime is 110421402323. The reversal of 110421402320 is 23204124011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110421402292 and 110421402301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110421402323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2114444 + ... + 2166036.

Almost surely, 2110421402320 is an apocalyptic number.

110421402320 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 110421402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132661794816).

110421402320 is an abundant number, since it is smaller than the sum of its proper divisors (154902187312).

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

110421402320 is a wasteful number, since it uses less digits than its factorization.

110421402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52500 (or 52494 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 110421402320 its reverse (23204124011), we get a palindrome (133625526331).

The spelling of 110421402320 in words is "one hundred ten billion, four hundred twenty-one million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 863 1240 1726 2480 3452 4315 6904 8630 13808 17260 26753 34520 51593 53506 69040 103186 107012 133765 206372 214024 257965 267530 412744 428048 515930 535060 825488 1031860 1070120 1599383 2063720 2140240 3198766 4127440 6397532 7996915 12795064 15993830 25590128 31987660 44524759 63975320 89049518 127950640 178099036 222623795 356198072 445247590 712396144 890495180 1380267529 1780990360 2760535058 3561980720 5521070116 6901337645 11042140232 13802675290 22084280464 27605350580 55210701160 110421402320