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11313011220100 = 2252113130112201
BaseRepresentation
bin1010010010100000010000…
…0000111101111010000100
31111001111212012111011121021
42210220010000331322010
52440323021333020400
640021043044200524
72245223651514202
oct244500400757204
944044765434537
1011313011220100
1136719039a4477
121328654699144
13640a73a52665
142b17a4724072
1514942628471a
hexa4a0403de84

11313011220100 has 18 divisors (see below), whose sum is σ = 24549234347834. Its totient is φ = 4525204488000.

The previous prime is 11313011220073. The next prime is 11313011220101. The reversal of 11313011220100 is 102211031311.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 39546890496 + 11273464329604 = 198864^2 + 3357598^2 .

It is a super-2 number, since 2×113130112201002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11313011220101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56565056001 + ... + 56565056200.

Almost surely, 211313011220100 is an apocalyptic number.

11313011220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313011220100 is an abundant number, since it is smaller than the sum of its proper divisors (13236223127734).

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

11313011220100 is a wasteful number, since it uses less digits than its factorization.

11313011220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113130112215 (or 113130112208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11313011220100 its reverse (102211031311), we get a palindrome (11415222251411).

The spelling of 11313011220100 in words is "eleven trillion, three hundred thirteen billion, eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113130112201 226260224402 452520448804 565650561005 1131301122010 2262602244020 2828252805025 5656505610050 11313011220100