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2124031104 = 273213141829
BaseRepresentation
bin111111010011010…
…0010010010000000
312111000201221220200
41332212202102000
513322222443404
6550433205200
7103430652336
oct17646422200
95430657820
102124031104
1199aa62008
124b3400800
1327b083050
14162143b56
15c6712839
hex7e9a2480

2124031104 has 96 divisors (see below), whose sum is σ = 6582330300. Its totient is φ = 653543424.

The previous prime is 2124031099. The next prime is 2124031181. The reversal of 2124031104 is 4011304212.

It can be written as a sum of positive squares in 2 ways, for example, as 1733889600 + 390141504 = 41640^2 + 19752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55939 + ... + 85890.

Almost surely, 22124031104 is an apocalyptic number.

2124031104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2124031104 is an abundant number, since it is smaller than the sum of its proper divisors (4458299196).

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

2124031104 is a wasteful number, since it uses less digits than its factorization.

2124031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141862 (or 141847 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2124031104 is about 46087.2119356335. The cubic root of 2124031104 is about 1285.4453691972.

Adding to 2124031104 its reverse (4011304212), we get a palindrome (6135335316).

The spelling of 2124031104 in words is "two billion, one hundred twenty-four million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 141829 283658 425487 567316 850974 1134632 1276461 1701948 1843777 2269264 2552922 3403896 3687554 4538528 5105844 5531331 6807792 7375108 9077056 10211688 11062662 13615584 14750216 16593993 18154112 20423376 22125324 27231168 29500432 33187986 40846752 44250648 54462336 59000864 66375972 81693504 88501296 118001728 132751944 163387008 177002592 236003456 265503888 354005184 531007776 708010368 1062015552 2124031104