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10011100060100 = 2252293452103469
BaseRepresentation
bin1001000110101110010000…
…0100000001100111000100
31022110001101202221201201102
42101223210010001213010
52303010213103410400
633143011425515232
72052164251322456
oct221534404014704
938401352851642
1010011100060100
11320a757aa4507
1211582751a2b18
13578072a17b19
1426877b4082d6
151256296999d5
hex91ae41019c4

10011100060100 has 36 divisors (see below), whose sum is σ = 22473193589700. Its totient is φ = 3866355884160.

The previous prime is 10011100060099. The next prime is 10011100060103. The reversal of 10011100060100 is 106000111001.

It can be written as a sum of positive squares in 6 ways, for example, as 181269874564 + 9829830185536 = 425758^2 + 3135256^2 .

It is a super-2 number, since 2×100111000601002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011100060103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1726048835 + ... + 1726054634.

Almost surely, 210011100060100 is an apocalyptic number.

10011100060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011100060100 is an abundant number, since it is smaller than the sum of its proper divisors (12462093529600).

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

10011100060100 is a wasteful number, since it uses less digits than its factorization.

10011100060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452103512 (or 3452103505 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10011100060100 its reverse (106000111001), we get a palindrome (10117100171101).

The spelling of 10011100060100 in words is "ten trillion, eleven billion, one hundred million, sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3452103469 6904206938 13808413876 17260517345 34521034690 69042069380 86302586725 100111000601 172605173450 200222001202 345210346900 400444002404 500555003005 1001110006010 2002220012020 2502775015025 5005550030050 10011100060100