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10123011301 = 131745805481
BaseRepresentation
bin10010110110110000…
…01110010011100101
3222010111020020220111
421123120032103211
5131212442330201
64352255133021
7505600114324
oct113330162345
928114206814
1010123011301
1143251a3247
121b66214171
13c54329c20
146c06240bb
153e3aaab51
hex25b60e4e5

10123011301 has 8 divisors (see below), whose sum is σ = 11542981464. Its totient is φ = 8794652160.

The previous prime is 10123011209. The next prime is 10123011319. The reversal of 10123011301 is 10311032101.

10123011301 is digitally balanced in base 2 and base 3, because in such bases 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 172948801 + 9950062500 = 13151^2 + 99750^2 .

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

It is not a de Polignac number, because 10123011301 - 213 = 10123003109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123011331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22902520 + ... + 22902961.

It is an arithmetic number, because the mean of its divisors is an integer number (1442872683).

Almost surely, 210123011301 is an apocalyptic number.

It is an amenable number.

10123011301 is a deficient number, since it is larger than the sum of its proper divisors (1419970163).

10123011301 is a wasteful number, since it uses less digits than its factorization.

10123011301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45805511.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10123011301 its reverse (10311032101), we get a palindrome (20434043402).

The spelling of 10123011301 in words is "ten billion, one hundred twenty-three million, eleven thousand, three hundred one".

Divisors: 1 13 17 221 45805481 595471253 778693177 10123011301