Search a number
-
+
100220111101 = 1121761798713
BaseRepresentation
bin101110101010110010…
…1011000100011111101
3100120200111211010220201
41131111211120203331
53120222322023401
6114012424443501
710145355613555
oct1352545304375
9316614733821
10100220111101
1139559704900
121750b619591
1395b22b88b6
144bca39a165
152918717b01
hex17559588fd

100220111101 has 24 divisors (see below), whose sum is σ = 118551521592. Its totient is φ = 84343987200.

The previous prime is 100220111081. The next prime is 100220111107. The reversal of 100220111101 is 101111022001.

It can be written as a sum of positive squares in 4 ways, for example, as 17983078201 + 82237032900 = 134101^2 + 286770^2 .

It is not a de Polignac number, because 100220111101 - 27 = 100220110973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220111107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273880 + ... + 524833.

It is an arithmetic number, because the mean of its divisors is an integer number (4939646733).

Almost surely, 2100220111101 is an apocalyptic number.

100220111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100220111101 is a deficient number, since it is larger than the sum of its proper divisors (18331410491).

100220111101 is a wasteful number, since it uses less digits than its factorization.

100220111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798813 (or 798802 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100220111101 its reverse (101111022001), we get a palindrome (201331133102).

The spelling of 100220111101 in words is "one hundred billion, two hundred twenty million, one hundred eleven thousand, one hundred one".

Divisors: 1 11 17 61 121 187 671 1037 2057 7381 11407 125477 798713 8785843 13578121 48721493 96644273 149359331 535936423 828265381 1642952641 5895300653 9110919191 100220111101