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11106377101 = 97401285533
BaseRepresentation
bin10100101011111110…
…11101110110001101
31001200000121102012001
422111333131312031
5140221213031401
65034024112301
7542140435111
oct122577356615
931600542161
1011106377101
11478a295556
12219b605691
13107cc91991
14775081741
154500a3601
hex295fddd8d

11106377101 has 8 divisors (see below), whose sum is σ = 11248897464. Its totient is φ = 10964428800.

The previous prime is 11106377081. The next prime is 11106377123. The reversal of 11106377101 is 10177360111.

It can be written as a sum of positive squares in 4 ways, for example, as 8176861476 + 2929515625 = 90426^2 + 54125^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11106377101 - 27 = 11106376973 is a prime.

It is a super-2 number, since 2×111063771012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11106377101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106377131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103870 + ... + 181663.

It is an arithmetic number, because the mean of its divisors is an integer number (1406112183).

Almost surely, 211106377101 is an apocalyptic number.

It is an amenable number.

11106377101 is a deficient number, since it is larger than the sum of its proper divisors (142520363).

11106377101 is an equidigital number, since it uses as much as digits as its factorization.

11106377101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286031.

The product of its (nonzero) digits is 882, while the sum is 28.

The spelling of 11106377101 in words is "eleven billion, one hundred six million, three hundred seventy-seven thousand, one hundred one".

Divisors: 1 97 401 38897 285533 27696701 114498733 11106377101