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10118348101 = 42194125541
BaseRepresentation
bin10010110110001100…
…11011110101000101
3222010011110100012101
421123012123311011
5131210244114401
64352011152101
7505512353101
oct113306336505
928104410171
1010118348101
1143225a8764
121b64745631
13c53386534
146bdb6c901
153e3489101
hex25b19bd45

10118348101 has 8 divisors (see below), whose sum is σ = 10153558008. Its totient is φ = 10083192000.

The previous prime is 10118348077. The next prime is 10118348111. The reversal of 10118348101 is 10184381101.

It is a Cunningham number, because it is equal to 1005902+1.

It can be written as a sum of positive squares in 4 ways, for example, as 48024900 + 10070323201 = 6930^2 + 100351^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10118348101 is a prime.

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 10118348101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10118348111) 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, 383391 + ... + 408931.

It is an arithmetic number, because the mean of its divisors is an integer number (1269194751).

Almost surely, 210118348101 is an apocalyptic number.

It is an amenable number.

10118348101 is a deficient number, since it is larger than the sum of its proper divisors (35209907).

10118348101 is an equidigital number, since it uses as much as digits as its factorization.

10118348101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26903.

The product of its (nonzero) digits is 768, while the sum is 28.

The spelling of 10118348101 in words is "ten billion, one hundred eighteen million, three hundred forty-eight thousand, one hundred one".

Divisors: 1 421 941 25541 396161 10752761 24034081 10118348101