Search a number
-
+
2123124234 = 2372111993299
BaseRepresentation
bin111111010001100…
…0100111000001010
312110222000212220220
41332203010320022
513322004433414
6550401530510
7103420154400
oct17643047012
95428025826
102123124234
1199a4a2730
124b3043a36
1327ab2633a
14161d89470
15c65d3ca9
hex7e8c4e0a

2123124234 has 96 divisors (see below), whose sum is σ = 5417280000. Its totient is φ = 548523360.

The previous prime is 2123124217. The next prime is 2123124247. The reversal of 2123124234 is 4324213212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641917 + ... + 645215.

It is an arithmetic number, because the mean of its divisors is an integer number (56430000).

Almost surely, 22123124234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123124234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708640000).

2123124234 is an abundant number, since it is smaller than the sum of its proper divisors (3294155766).

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

2123124234 is a wasteful number, since it uses less digits than its factorization.

2123124234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3521 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2123124234 is about 46077.3722558047. The cubic root of 2123124234 is about 1285.2623998448.

Adding to 2123124234 its reverse (4324213212), we get a palindrome (6447337446).

The spelling of 2123124234 in words is "two billion, one hundred twenty-three million, one hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 199 231 294 398 462 539 597 1078 1194 1393 1617 2189 2786 3234 3299 4179 4378 6567 6598 8358 9751 9897 13134 15323 19502 19794 23093 29253 30646 36289 45969 46186 58506 69279 72578 91938 107261 108867 138558 161651 214522 217734 254023 321783 323302 484953 508046 643566 656501 762069 969906 1313002 1524138 1778161 1969503 3556322 3939006 4595507 5334483 7221511 9191014 10668966 13786521 14443022 21664533 27573042 32168549 43329066 50550577 64337098 96505647 101101154 151651731 193011294 303303462 353854039 707708078 1061562117 2123124234