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2120343104 = 26116744953
BaseRepresentation
bin111111001100001…
…1101111001000000
312110202210120221002
41332120131321000
513320301434404
6550222151132
7103354422215
oct17630357100
95422716832
102120343104
11998973180
124b21224a8
1327a3914b9
14161863b0c
15c6234c1e
hex7e61de40

2120343104 has 56 divisors (see below), whose sum is σ = 4658672928. Its totient is φ = 949386240.

The previous prime is 2120343073. The next prime is 2120343107. The reversal of 2120343104 is 4013430212.

It is not an unprimeable number, because it can be changed into a prime (2120343107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24692 + ... + 69644.

It is an arithmetic number, because the mean of its divisors is an integer number (83190588).

Almost surely, 22120343104 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 2120343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329336464).

2120343104 is an abundant number, since it is smaller than the sum of its proper divisors (2538329824).

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

2120343104 is a wasteful number, since it uses less digits than its factorization.

2120343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45043 (or 45033 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2120343104 is about 46047.1834534969. The cubic root of 2120343104 is about 1284.7009562163.

Adding to 2120343104 its reverse (4013430212), we get a palindrome (6133773316).

The spelling of 2120343104 in words is "two billion, one hundred twenty million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 134 176 268 352 536 704 737 1072 1474 2144 2948 4288 5896 11792 23584 44953 47168 89906 179812 359624 494483 719248 988966 1438496 1977932 2876992 3011851 3955864 6023702 7911728 12047404 15823456 24094808 31646912 33130361 48189616 66260722 96379232 132521444 192758464 265042888 530085776 1060171552 2120343104