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2124044130 = 2351319328219
BaseRepresentation
bin111111010011010…
…0101011101100010
312111000202121210010
41332212211131202
513322223403010
6550433345350
7103431035325
oct17646453542
95430677703
102124044130
1199aa7087a
124b3408256
1327b088c60
141621487bc
15c6716620
hex7e9a5762

2124044130 has 64 divisors (see below), whose sum is σ = 5518477440. Its totient is φ = 520114176.

The previous prime is 2124044113. The next prime is 2124044147. The reversal of 2124044130 is 314404212.

It is an interprime number because it is at equal distance from previous prime (2124044113) and next prime (2124044147).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2124044097 and 2124044106.

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, 61161 + ... + 89379.

It is an arithmetic number, because the mean of its divisors is an integer number (86226210).

Almost surely, 22124044130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124044130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759238720).

2124044130 is an abundant number, since it is smaller than the sum of its proper divisors (3394433310).

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

2124044130 is a wasteful number, since it uses less digits than its factorization.

2124044130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28435.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2124044130 is about 46087.3532544450. The cubic root of 2124044130 is about 1285.4479969329.

Adding to 2124044130 its reverse (314404212), we get a palindrome (2438448342).

The spelling of 2124044130 in words is "two billion, one hundred twenty-four million, forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 193 195 386 390 579 965 1158 1930 2509 2895 5018 5790 7527 12545 15054 25090 28219 37635 56438 75270 84657 141095 169314 282190 366847 423285 733694 846570 1100541 1834235 2201082 3668470 5446267 5502705 10892534 11005410 16338801 27231335 32677602 54462670 70801471 81694005 141602942 163388010 212404413 354007355 424808826 708014710 1062022065 2124044130