Search a number
-
+
2032123022310 = 2355960110691787
BaseRepresentation
bin11101100100100011111…
…110001000101111100110
321012021021010222110110010
4131210203332020233212
5231243241443203220
64153313332511050
7266546621455233
oct35444376105746
97167233873403
102032123022310
11713900517a07
12289a09a7b486
13119822718294
14704d8c5878a
1537cd81ba1e0
hex1d923f88be6

2032123022310 has 128 divisors (see below), whose sum is σ = 4975440422400. Its totient is φ = 531033523200.

The previous prime is 2032123022299. The next prime is 2032123022353. The reversal of 2032123022310 is 132203212302.

It is a happy number.

It is a super-2 number, since 2×20321230223102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1137169237 + ... + 1137171023.

It is an arithmetic number, because the mean of its divisors is an integer number (38870628300).

Almost surely, 22032123022310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032123022310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487720211200).

2032123022310 is an abundant number, since it is smaller than the sum of its proper divisors (2943317400090).

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

2032123022310 is a wasteful number, since it uses less digits than its factorization.

2032123022310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2032123022310 its reverse (132203212302), we get a palindrome (2164326234612).

The spelling of 2032123022310 in words is "two trillion, thirty-two billion, one hundred twenty-three million, twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 601 885 1069 1202 1770 1787 1803 2138 3005 3207 3574 3606 5345 5361 6010 6414 8935 9015 10690 10722 16035 17870 18030 26805 32070 35459 53610 63071 70918 105433 106377 126142 177295 189213 210866 212754 315355 316299 354590 378426 527165 531885 630710 632598 642469 946065 1054330 1063770 1073987 1284938 1581495 1892130 1910303 1927407 2147974 3162990 3212345 3221961 3820606 3854814 5369935 5730909 6424690 6443922 9551515 9637035 10739870 11461818 16109805 19103030 19274070 28654545 32219610 37905671 57309090 63365233 75811342 112707877 113717013 126730466 189528355 190095699 225415754 227434026 316826165 338123631 379056710 380191398 563539385 568585065 633652330 676247262 950478495 1127078770 1137170130 1148092103 1690618155 1900956990 2296184206 3381236310 3444276309 5740460515 6888552618 11480921030 17221381545 34442763090 67737434077 135474868154 203212302231 338687170385 406424604462 677374340770 1016061511155 2032123022310