Search a number
-
+
20313251301 = 37331718969
BaseRepresentation
bin10010111010110000…
…111001110111100101
31221102122222002020210
4102322300321313211
5313100143020201
613155355250033
71316244534000
oct227260716745
957378862223
1020313251301
1186843343a2
123b2aa49919
131bb9565135
14da9b48537
157dd4e61d6
hex4bac39de5

20313251301 has 64 divisors (see below), whose sum is σ = 33067008000. Its totient is φ = 11073686400.

The previous prime is 20313251279. The next prime is 20313251317. The reversal of 20313251301 is 10315231302.

It is not a de Polignac number, because 20313251301 - 214 = 20313234917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313252301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2260345 + ... + 2269313.

It is an arithmetic number, because the mean of its divisors is an integer number (516672000).

Almost surely, 220313251301 is an apocalyptic number.

20313251301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20313251301 is a deficient number, since it is larger than the sum of its proper divisors (12753756699).

20313251301 is an equidigital number, since it uses as much as digits as its factorization.

20313251301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9095 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 20313251301 its reverse (10315231302), we get a palindrome (30628482603).

The spelling of 20313251301 in words is "twenty billion, three hundred thirteen million, two hundred fifty-one thousand, three hundred one".

Divisors: 1 3 7 21 31 49 71 93 147 213 217 343 497 651 1029 1491 1519 2201 3479 4557 6603 8969 10437 10633 15407 24353 26907 31899 46221 62783 73059 107849 188349 278039 323547 439481 636799 754943 834117 1318443 1910397 1946273 2264829 3076367 4457593 5838819 9229101 13372779 13623911 19740769 31203151 40871733 59222307 93609453 95367377 138185383 218422057 286102131 414556149 655266171 967297681 2901893043 6771083767 20313251301