Search a number
-
+
101101112222100 = 223521933988743777
BaseRepresentation
bin10110111111001101101111…
…111000010110000110010100
3111020222011122100020000220120
4112333031233320112012110
5101222420034212101400
6555005113151031540
730203212544455644
oct2677155770260624
9436864570200816
10101101112222100
112a239817170091
12b40a0a5b0b5b0
134454a42490cb3
141ad7469cba524
15ba4d12c1cca0
hex5bf36fe16194

101101112222100 has 144 divisors (see below), whose sum is σ = 294048950162688. Its totient is φ = 26819320872960.

The previous prime is 101101112222059. The next prime is 101101112222101. The reversal of 101101112222100 is 1222211101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101101112222100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101112222101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2309435412 + ... + 2309479188.

It is an arithmetic number, because the mean of its divisors is an integer number (2042006598352).

Almost surely, 2101101112222100 is an apocalyptic number.

101101112222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101112222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147024475081344).

101101112222100 is an abundant number, since it is smaller than the sum of its proper divisors (192947837940588).

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

101101112222100 is a wasteful number, since it uses less digits than its factorization.

101101112222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83874 (or 83867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101101112222100 its reverse (1222211101101), we get a palindrome (102323323323201).

The spelling of 101101112222100 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 193 300 386 579 772 965 1158 1930 2316 2895 3860 4825 5790 9650 11580 14475 19300 28950 39887 43777 57900 79774 87554 119661 131331 159548 175108 199435 218885 239322 262662 398870 437770 478644 525324 598305 656655 797740 875540 997175 1094425 1196610 1313310 1994350 2188850 2393220 2626620 2991525 3283275 3988700 4377700 5983050 6566550 7698191 8448961 11966100 13133100 15396382 16897922 23094573 25346883 30792764 33795844 38490955 42244805 46189146 50693766 76981910 84489610 92378292 101387532 115472865 126734415 153963820 168979220 192454775 211224025 230945730 253468830 384909550 422448050 461891460 506937660 577364325 633672075 769819100 844896100 1154728650 1267344150 1746133199 2309457300 2534688300 3492266398 5238399597 6984532796 8730665995 10476799194 17461331990 20953598388 26191997985 34922663980 43653329975 52383995970 87306659950 104767991940 130959989925 174613319900 261919979850 337003707407 523839959700 674007414814 1011011122221 1348014829628 1685018537035 2022022244442 3370037074070 4044044488884 5055055611105 6740074148140 8425092685175 10110111222210 16850185370350 20220222444420 25275278055525 33700370740700 50550556111050 101101112222100