Search a number
-
+
101332000110 = 235111935932683
BaseRepresentation
bin101111001011111011…
…0111001110101101110
3100200120000000221220010
41132113312321311232
53130011443000420
6114315024234050
710215046534515
oct1362766716556
9320500027803
10101332000110
1139a7a2aa540
121777ba6b926
13972b76cba3
144c93d1167c
15298114b4e0
hex1797db9d6e

101332000110 has 128 divisors (see below), whose sum is σ = 267229518336. Its totient is φ = 24387747840.

The previous prime is 101332000109. The next prime is 101332000123. The reversal of 101332000110 is 11000233101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37766829 + ... + 37769511.

It is an arithmetic number, because the mean of its divisors is an integer number (2087730612).

Almost surely, 2101332000110 is an apocalyptic number.

101332000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101332000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133614759168).

101332000110 is an abundant number, since it is smaller than the sum of its proper divisors (165897518226).

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

101332000110 is a wasteful number, since it uses less digits than its factorization.

101332000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101332000110 its reverse (11000233101), we get a palindrome (112332233211).

The spelling of 101332000110 in words is "one hundred one billion, three hundred thirty-two million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 193 330 386 579 593 965 1158 1186 1779 1930 2123 2683 2895 2965 3558 4246 5366 5790 5930 6369 6523 8049 8895 10615 12738 13046 13415 16098 17790 19569 21230 26830 29513 31845 32615 39138 40245 59026 63690 65230 80490 88539 97845 114449 147565 177078 195690 228898 295130 343347 442695 517819 572245 686694 885390 1035638 1144490 1258939 1553457 1591019 1716735 2517878 2589095 3106914 3182038 3433470 3776817 4773057 5178190 5696009 6294695 7553634 7767285 7955095 9546114 11392018 12589390 15534570 15910190 17088027 17501209 18884085 23865285 28480045 34176054 35002418 37768170 47730570 52503627 56960090 85440135 87506045 105007254 170880270 175012090 262518135 307066667 525036270 614133334 921200001 1535333335 1842400002 3070666670 3377733337 4606000005 6755466674 9212000010 10133200011 16888666685 20266400022 33777333370 50666000055 101332000110