Search a number
-
+
101136263168 = 211595691471
BaseRepresentation
bin101111000110000110…
…0001110100000000000
3100200001100201111021202
41132030030032200000
53124111340410133
6114243353040332
710210152024053
oct1361414164000
9320040644252
10101136263168
1139989869476
12177263b60a8
1396ca049105
144c75d1ca9a
15296dd852e8
hex178c30e800

101136263168 has 96 divisors (see below), whose sum is σ = 206152128000. Its totient is φ = 49589944320.

The previous prime is 101136263119. The next prime is 101136263243. The reversal of 101136263168 is 861362631101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68752673 + ... + 68754143.

It is an arithmetic number, because the mean of its divisors is an integer number (2147418000).

Almost surely, 2101136263168 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 101136263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103076064000).

101136263168 is an abundant number, since it is smaller than the sum of its proper divisors (105015864832).

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

101136263168 is an equidigital number, since it uses as much as digits as its factorization.

101136263168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

Adding to 101136263168 its reverse (861362631101), we get a palindrome (962498894269).

The spelling of 101136263168 in words is "one hundred one billion, one hundred thirty-six million, two hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 569 944 1024 1138 1471 1888 2048 2276 2942 3776 4552 5884 7552 9104 11768 15104 18208 23536 30208 33571 36416 47072 60416 67142 72832 86789 94144 120832 134284 145664 173578 188288 268568 291328 347156 376576 537136 582656 694312 753152 836999 1074272 1165312 1388624 1506304 1673998 2148544 2777248 3012608 3347996 4297088 5554496 6695992 8594176 11108992 13391984 17188352 22217984 26783968 34376704 44435968 49382941 53567936 68753408 88871936 98765882 107135872 177743872 197531764 214271744 395063528 428543488 790127056 857086976 1580254112 1714173952 3160508224 6321016448 12642032896 25284065792 50568131584 101136263168