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10100112301 = 173171874209
BaseRepresentation
bin10010110100000001…
…10111101110101101
3222001220010212101101
421122000313232231
5131141112043201
64350120243101
7505201352356
oct113200675655
928056125341
1010100112301
114313282954
121b5a610491
13c4c670116
146bb582d2d
153e1a85d01
hex25a037bad

10100112301 has 8 divisors (see below), whose sum is σ = 10727978040. Its totient is φ = 9475995648.

The previous prime is 10100112299. The next prime is 10100112307. The reversal of 10100112301 is 10321100101.

10100112301 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1174775625 + 8925336676 = 34275^2 + 94474^2 .

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 10100112301 - 21 = 10100112299 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 (10100112307) 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, 931716 + ... + 942493.

It is an arithmetic number, because the mean of its divisors is an integer number (1340997255).

Almost surely, 210100112301 is an apocalyptic number.

It is an amenable number.

10100112301 is a deficient number, since it is larger than the sum of its proper divisors (627865739).

10100112301 is a wasteful number, since it uses less digits than its factorization.

10100112301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874543.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10100112301 its reverse (10321100101), we get a palindrome (20421212402).

The spelling of 10100112301 in words is "ten billion, one hundred million, one hundred twelve thousand, three hundred one".

Divisors: 1 17 317 5389 1874209 31861553 594124253 10100112301