Search a number
-
+
2134210112 = 261923137557
BaseRepresentation
bin111111100110101…
…0111011001000000
312111201220002212222
41333031113121000
513332324210422
6551435310212
7103613325626
oct17715273100
95451802788
102134210112
119a5784711
124b68ab368
13280208228
14163633516
15c7573842
hex7f357640

2134210112 has 112 divisors (see below), whose sum is σ = 4694163840. Its totient is φ = 958205952.

The previous prime is 2134210109. The next prime is 2134210129. The reversal of 2134210112 is 2110124312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3831338 + ... + 3831894.

Almost surely, 22134210112 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 2134210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347081920).

2134210112 is an abundant number, since it is smaller than the sum of its proper divisors (2559953728).

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

2134210112 is a wasteful number, since it uses less digits than its factorization.

2134210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2134210112 is about 46197.5119676374. The cubic root of 2134210112 is about 1287.4955137557.

Adding to 2134210112 its reverse (2110124312), we get a palindrome (4244334424).

The spelling of 2134210112 in words is "two billion, one hundred thirty-four million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 137 152 184 274 304 368 437 548 557 608 736 874 1096 1114 1216 1472 1748 2192 2228 2603 3151 3496 4384 4456 5206 6302 6992 8768 8912 10412 10583 12604 12811 13984 17824 20824 21166 25208 25622 27968 35648 41648 42332 50416 51244 59869 76309 83296 84664 100832 102488 119738 152618 166592 169328 201664 204976 239476 243409 305236 338656 409952 478952 486818 610472 677312 819904 957904 973636 1220944 1449871 1755107 1915808 1947272 2441888 2899742 3510214 3831616 3894544 4883776 5799484 7020428 7789088 11598968 14040856 15578176 23197936 28081712 33347033 46395872 56163424 66694066 92791744 112326848 133388132 266776264 533552528 1067105056 2134210112