Search a number
-
+
101330131100 = 22521128599749
BaseRepresentation
bin101111001011110111…
…1110001100010011100
3100200112212112000002112
41132113233301202130
53130011003143400
6114314520213152
710215024621512
oct1362757614234
9320485460075
10101330131100
1139a79243300
121777b30a1b8
13972b267273
144c939864b2
152980dcc835
hex1797bf189c

101330131100 has 108 divisors (see below), whose sum is σ = 241999485000. Its totient is φ = 36800649600.

The previous prime is 101330131093. The next prime is 101330131103. The reversal of 101330131100 is 1131033101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330131103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10389026 + ... + 10398774.

Almost surely, 2101330131100 is an apocalyptic number.

101330131100 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 101330131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120999742500).

101330131100 is an abundant number, since it is smaller than the sum of its proper divisors (140669353900).

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

101330131100 is a wasteful number, since it uses less digits than its factorization.

101330131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10644 (or 10626 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101330131100 its reverse (1131033101), we get a palindrome (102461164201).

It can be divided in two parts, 1013301 and 31100, that added together give a palindrome (1044401).

The spelling of 101330131100 in words is "one hundred one billion, three hundred thirty million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 859 1100 1210 1718 2420 3025 3436 4295 6050 8590 9449 9749 12100 17180 18898 19498 21475 37796 38996 42950 47245 48745 85900 94490 97490 103939 107239 188980 194980 207878 214478 236225 243725 415756 428956 472450 487450 519695 536195 944900 974900 1039390 1072390 1179629 2078780 2144780 2359258 2598475 2680975 4718516 5196950 5361950 5898145 8374391 10393900 10723900 11796290 16748782 23592580 29490725 33497564 41871955 58981450 83743910 92118301 117962900 167487820 184236602 209359775 368473204 418719550 460591505 837439100 921183010 1013301311 1842366020 2026602622 2302957525 4053205244 4605915050 5066506555 9211830100 10133013110 20266026220 25332532775 50665065550 101330131100