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20301043420431 = 333124254532163
BaseRepresentation
bin1001001110110101101000…
…11110110100110100001111
32122212202112121202210011000
410213122310132310310033
510130103014103423211
6111102100503231343
74163462531620314
oct447326436646417
978782477683130
1020301043420431
116517695844574
12233a58a448553
13b434c3343187
1450280bbb0d0b
15253123e51656
hex1276b47b4d0f

20301043420431 has 16 divisors (see below), whose sum is σ = 31045801169920. Its totient is φ = 13097447367480.

The previous prime is 20301043420429. The next prime is 20301043420433. The reversal of 20301043420431 is 13402434010302.

20301043420431 is a `hidden beast` number, since 20 + 3 + 0 + 1 + 0 + 434 + 204 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20301043420429) and next prime (20301043420433).

It is not a de Polignac number, because 20301043420431 - 21 = 20301043420429 is a prime.

It is a super-2 number, since 2×203010434204312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20301043420395 and 20301043420404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301043420433) 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, 12127265245 + ... + 12127266918.

It is an arithmetic number, because the mean of its divisors is an integer number (1940362573120).

Almost surely, 220301043420431 is an apocalyptic number.

20301043420431 is a deficient number, since it is larger than the sum of its proper divisors (10744757749489).

20301043420431 is a wasteful number, since it uses less digits than its factorization.

20301043420431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24254532203 (or 24254532197 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20301043420431 its reverse (13402434010302), we get a palindrome (33703477430733).

The spelling of 20301043420431 in words is "twenty trillion, three hundred one billion, forty-three million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 31 93 279 837 24254532163 72763596489 218290789467 654872368401 751890497053 2255671491159 6767014473477 20301043420431