Search a number
-
+
2032233131312 = 2429310151563
BaseRepresentation
bin11101100100101010100…
…010001010110100110000
321012021112211011120121022
4131210222202022310300
5231244003140200222
64153332304515012
7266552426412566
oct35445242126460
97167484146538
102032233131312
1171395769348a
12289a3a91ba68
1311983c48b137
147050971ba36
1537ce2bba042
hex1d92a88ad30

2032233131312 has 80 divisors (see below), whose sum is σ = 4118525995680. Its totient is φ = 971345580800.

The previous prime is 2032233131297. The next prime is 2032233131323. The reversal of 2032233131312 is 2131313322302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39386843 + ... + 39438405.

It is an arithmetic number, because the mean of its divisors is an integer number (51481574946).

Almost surely, 22032233131312 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 2032233131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059262997840).

2032233131312 is an abundant number, since it is smaller than the sum of its proper divisors (2086292864368).

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

2032233131312 is an equidigital number, since it uses as much as digits as its factorization.

2032233131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51759 (or 51695 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 2032233131312 its reverse (2131313322302), we get a palindrome (4163546453614).

The spelling of 2032233131312 in words is "two trillion, thirty-two billion, two hundred thirty-three million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 464 808 841 1616 1682 2929 3364 5858 6728 11716 13456 23432 24389 46864 48778 51563 84941 97556 103126 169882 195112 206252 339764 390224 412504 679528 825008 1359056 1495327 2463289 2990654 4926578 5207863 5981308 9853156 10415726 11962616 19706312 20831452 23925232 39412624 41662904 43364483 83325808 86728966 151028027 173457932 302056054 346915864 604112108 693831728 1208224216 1257570007 2416448432 2515140014 4379812783 5030280028 8759625566 10060560056 17519251132 20121120112 35038502264 70077004528 127014570707 254029141414 508058282828 1016116565656 2032233131312