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10000123132301 = 314719793468167
BaseRepresentation
bin1001000110000101010111…
…0010010111100110001101
31022102000001202221000120222
42101201111302113212031
52302320223010213201
633133554304121125
72051325242062511
oct221412562274615
938360052830528
1010000123132301
113206034895155
1211561110061a5
1357701380b083
14268019622141
151251d5b6691b
hex91855c9798d

10000123132301 has 16 divisors (see below), whose sum is σ = 10547669975040. Its totient is φ = 9466844640240.

The previous prime is 10000123132229. The next prime is 10000123132303. The reversal of 10000123132301 is 10323132100001.

It is a cyclic number.

It is not a de Polignac number, because 10000123132301 - 222 = 10000118937997 is a prime.

It is a super-2 number, since 2×100001231323012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10000123132301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000123132303) 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, 1149320 + ... + 4617486.

It is an arithmetic number, because the mean of its divisors is an integer number (659229373440).

Almost surely, 210000123132301 is an apocalyptic number.

It is an amenable number.

10000123132301 is a deficient number, since it is larger than the sum of its proper divisors (547546842739).

10000123132301 is a wasteful number, since it uses less digits than its factorization.

10000123132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470224.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10000123132301 its reverse (10323132100001), we get a palindrome (20323255232302).

The spelling of 10000123132301 in words is "ten trillion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 31 47 1457 1979 61349 93013 2883403 3468167 107513177 163003849 5053119319 6863502493 212768577283 322584617171 10000123132301