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10001023021301 = 137972297342017
BaseRepresentation
bin1001000110001000101101…
…1011001011000011110101
31022102002101111020010020012
42101202023123023003311
52302324043343140201
633134223451550005
72051356450026554
oct221421333130365
938362344203205
1010001023021301
113206456851074
12115632245b305
13577128096080
142680a2d4dd9b
15125239b705bb
hex9188b6cb0f5

10001023021301 has 16 divisors (see below), whose sum is σ = 10784572155504. Its totient is φ = 9219509704704.

The previous prime is 10001023021277. The next prime is 10001023021321. The reversal of 10001023021301 is 10312032010001.

It can be written as a sum of positive squares in 8 ways, for example, as 1349930278225 + 8651092743076 = 1161865^2 + 2941274^2 .

It is a de Polignac number, because none of the positive numbers 2k-10001023021301 is a prime.

It is a super-2 number, since 2×100010230213012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001023021321) 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, 238002245 + ... + 238044261.

It is an arithmetic number, because the mean of its divisors is an integer number (674035759719).

Almost surely, 210001023021301 is an apocalyptic number.

It is an amenable number.

10001023021301 is a deficient number, since it is larger than the sum of its proper divisors (783549134203).

10001023021301 is a wasteful number, since it uses less digits than its factorization.

10001023021301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65800.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10001023021301 its reverse (10312032010001), we get a palindrome (20313055031302).

The spelling of 10001023021301 in words is "ten trillion, one billion, twenty-three million, twenty-one thousand, three hundred one".

Divisors: 1 13 797 10361 22973 42017 298649 546221 18309481 33487549 238023253 435338137 965256541 12548335033 769309463177 10001023021301