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10148484101 = 717600714197
BaseRepresentation
bin10010111001110010…
…11001010000000101
3222012021011102000112
421130321121100011
5131241002442401
64355005122405
7506326456130
oct113471312005
928167142015
1010148484101
114338611348
121b72859405
13c596a83a2
146c3b75217
153e5e3d3bb
hex25ce59405

10148484101 has 16 divisors (see below), whose sum is σ = 12283428096. Its totient is φ = 8185072896.

The previous prime is 10148484089. The next prime is 10148484127.

10148484101 is nontrivially palindromic in base 10.

10148484101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10148484101 - 214 = 10148467717 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 (10148484161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707735 + ... + 721931.

It is an arithmetic number, because the mean of its divisors is an integer number (767714256).

Almost surely, 210148484101 is an apocalyptic number.

It is an amenable number.

10148484101 is a deficient number, since it is larger than the sum of its proper divisors (2134943995).

10148484101 is a wasteful number, since it uses less digits than its factorization.

10148484101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20228.

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 10148484101 in words is "ten billion, one hundred forty-eight million, four hundred eighty-four thousand, one hundred one".

Divisors: 1 7 17 119 6007 14197 42049 99379 102119 241349 714833 1689443 85281379 596969653 1449783443 10148484101