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2124134320 = 245721149261
BaseRepresentation
bin111111010011011…
…1011011110110000
312111000221012111111
41332212323132300
513322234244240
6550435323104
7103431562300
oct17646733660
95430835444
102124134320
119a0022610
124b3450494
1327b0bb019
1416216d600
15c67331ea
hex7e9bb7b0

2124134320 has 120 divisors (see below), whose sum is σ = 6267308688. Its totient is φ = 662054400.

The previous prime is 2124134267. The next prime is 2124134321. The reversal of 2124134320 is 234314212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2124134291 and 2124134300.

It is not an unprimeable number, because it can be changed into a prime (2124134321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18490 + ... + 67750.

Almost surely, 22124134320 is an apocalyptic number.

2124134320 is a gapful number since it is divisible by the number (20) 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 2124134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133654344).

2124134320 is an abundant number, since it is smaller than the sum of its proper divisors (4143174368).

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

2124134320 is a wasteful number, since it uses less digits than its factorization.

2124134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49299 (or 49286 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2124134320 is about 46088.3317120505. The cubic root of 2124134320 is about 1285.4661906720.

Adding to 2124134320 its reverse (234314212), we get a palindrome (2358448532).

The spelling of 2124134320 in words is "two billion, one hundred twenty-four million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1960 2156 2695 3080 3920 4312 5390 6160 8624 10780 21560 43120 49261 98522 197044 246305 344827 394088 492610 541871 689654 788176 985220 1083742 1379308 1724135 1970440 2167484 2413789 2709355 2758616 3448270 3793097 3940880 4334968 4827578 5418710 5517232 6896540 7586194 8669936 9655156 10837420 12068945 13793080 15172388 18965485 19310312 21674840 24137890 26551679 27586160 30344776 37930970 38620624 43349680 48275780 53103358 60689552 75861940 96551560 106206716 132758395 151723880 193103120 212413432 265516790 303447760 424826864 531033580 1062067160 2124134320