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3110400020 = 22571310915679
BaseRepresentation
bin1011100101100100…
…1111000000010100
322000202202200200202
42321121033000110
522332230300040
61232350400032
7140035651430
oct27131170024
98022680622
103110400020
111356815632
12729800018
133a75299b0
142171439c0
15133100015
hexb964f014

3110400020 has 96 divisors (see below), whose sum is σ = 8113459200. Its totient is φ = 975297024.

The previous prime is 3110400001. The next prime is 3110400031. The reversal of 3110400020 is 200040113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3110399974 and 3110400010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190541 + ... + 206219.

It is an arithmetic number, because the mean of its divisors is an integer number (84515200).

Almost surely, 23110400020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3110400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056729600).

3110400020 is an abundant number, since it is smaller than the sum of its proper divisors (5003059180).

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

3110400020 is a wasteful number, since it uses less digits than its factorization.

3110400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15817 (or 15815 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3110400020 is about 55770.9603646916. The cubic root of 3110400020 is about 1459.7284820663.

Adding to 3110400020 its reverse (200040113), we get a palindrome (3310440133).

The spelling of 3110400020 in words is "three billion, one hundred ten million, four hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 109 130 140 182 218 260 364 436 455 545 763 910 1090 1417 1526 1820 2180 2834 3052 3815 5668 7085 7630 9919 14170 15260 15679 19838 28340 31358 39676 49595 62716 78395 99190 109753 156790 198380 203827 219506 313580 407654 439012 548765 815308 1019135 1097530 1426789 1709011 2038270 2195060 2853578 3418022 4076540 5707156 6836044 7133945 8545055 11963077 14267890 17090110 22217143 23926154 28535780 34180220 44434286 47852308 59815385 88868572 111085715 119630770 155520001 222171430 239261540 311040002 444342860 622080004 777600005 1555200010 3110400020