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10201105949 = 101617163697
BaseRepresentation
bin10011000000000100…
…01000011000011101
3222022221011212121212
421200002020120131
5131342440342244
64404125034205
7510535653446
oct114002103035
928287155555
1010201105949
114365292981
121b883b5965
13c67570c88
146cab522cd
153ea884d9e
hex26008861d

10201105949 has 8 divisors (see below), whose sum is σ = 10318867128. Its totient is φ = 10083673600.

The previous prime is 10201105939. The next prime is 10201105991. The reversal of 10201105949 is 94950110201.

It can be written as a sum of positive squares in 4 ways, for example, as 2442138724 + 7758967225 = 49418^2 + 88085^2 .

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 10201105949 - 24 = 10201105933 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 (10201105939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19532 + ... + 144165.

It is an arithmetic number, because the mean of its divisors is an integer number (1289858391).

Almost surely, 210201105949 is an apocalyptic number.

It is an amenable number.

10201105949 is a deficient number, since it is larger than the sum of its proper divisors (117761179).

10201105949 is a wasteful number, since it uses less digits than its factorization.

10201105949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164415.

The product of its (nonzero) digits is 3240, while the sum is 32.

The spelling of 10201105949 in words is "ten billion, two hundred one million, one hundred five thousand, nine hundred forty-nine".

Divisors: 1 101 617 62317 163697 16533397 101001049 10201105949