Search a number
-
+
2123141220032 = 26729374416733
BaseRepresentation
bin11110111001010101000…
…101000000011011000000
321111222012100202222021012
4132321111011000123000
5234241143123020112
64303205124420052
7306251263414250
oct36712505003300
97458170688235
102123141220032
11749467961018
122a358b847628
13125299479701
1474a9107d960
153a363b20022
hex1ee551406c0

2123141220032 has 112 divisors (see below), whose sum is σ = 5115637988160. Its totient is φ = 854796644352.

The previous prime is 2123141220007. The next prime is 2123141220071. The reversal of 2123141220032 is 2300221413212.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1727663 + ... + 2689070.

It is an arithmetic number, because the mean of its divisors is an integer number (45675339180).

Almost surely, 22123141220032 is an apocalyptic number.

It is an amenable number.

2123141220032 is an abundant number, since it is smaller than the sum of its proper divisors (2992496768128).

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

2123141220032 is a wasteful number, since it uses less digits than its factorization.

2123141220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416818 (or 4416808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2123141220032 its reverse (2300221413212), we get a palindrome (4423362633244).

The spelling of 2123141220032 in words is "two trillion, one hundred twenty-three billion, one hundred forty-one million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 37 56 58 64 74 112 116 148 203 224 232 259 296 406 448 464 518 592 812 928 1036 1073 1184 1624 1856 2072 2146 2368 3248 4144 4292 6496 7511 8288 8584 12992 15022 16576 17168 30044 34336 60088 68672 120176 240352 480704 4416733 8833466 17666932 30917131 35333864 61834262 70667728 123668524 128085257 141335456 163419121 247337048 256170514 282670912 326838242 494674096 512341028 653676484 896596799 989348192 1024682056 1143933847 1307352968 1793193598 1978696384 2049364112 2287867694 2614705936 3586387196 4098728224 4575735388 4739154509 5229411872 7172774392 8197456448 9151470776 9478309018 10458823744 14345548784 18302941552 18956618036 28691097568 33174081563 36605883104 37913236072 57382195136 66348163126 73211766208 75826472144 132696326252 151652944288 265392652504 303305888576 530785305008 1061570610016 2123141220032