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300023000431 = 7119742199521
BaseRepresentation
bin1000101110110101100…
…00111010110101101111
31001200102010012120101221
410113122300322311233
514403421342003211
6345454554044211
730450564266110
oct4273260726557
91050363176357
10300023000431
1110626a186920
124a191119667
13223a482292b
141074220c207
157c0e703c71
hex45dac3ad6f

300023000431 has 32 divisors (see below), whose sum is σ = 378040158720. Its totient is φ = 231294873600.

The previous prime is 300023000411. The next prime is 300023000467. The reversal of 300023000431 is 134000320003.

It is not a de Polignac number, because 300023000431 - 25 = 300023000399 is a prime.

It is a super-2 number, since 2×3000230004312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300023000411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31506951 + ... + 31516471.

It is an arithmetic number, because the mean of its divisors is an integer number (11813754960).

Almost surely, 2300023000431 is an apocalyptic number.

300023000431 is a deficient number, since it is larger than the sum of its proper divisors (78017158289).

300023000431 is a wasteful number, since it uses less digits than its factorization.

300023000431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13855.

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 300023000431 its reverse (134000320003), we get a palindrome (434023320434).

The spelling of 300023000431 in words is "three hundred billion, twenty-three million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 11 77 97 679 1067 4219 7469 9521 29533 46409 66647 104731 324863 409243 733117 923537 2864701 4501673 6464759 10158907 31511711 40169099 71112349 281183693 441860089 3093020623 3896402603 27274818221 42860428633 300023000431