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20320121010301 = 73234427958171
BaseRepresentation
bin1001001111011001001011…
…00110000011100001111101
32122221120210011121202120121
410213230211212003201331
510130411101434312201
6111114533522214541
74165036353511000
oct447544546034175
978846704552517
1020320121010301
116524795625172
1223422134b4451
13b452438a8ca8
145036db785537
1525388dc159a1
hex127b2598387d

20320121010301 has 32 divisors (see below), whose sum is σ = 24728219136000. Its totient is φ = 16659312349680.

The previous prime is 20320121010263. The next prime is 20320121010313. The reversal of 20320121010301 is 10301012102302.

It is not a de Polignac number, because 20320121010301 - 233 = 20311531075709 is a prime.

It is a super-2 number, since 2×203201210103012 (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 (20320121010331) 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, 349287946 + ... + 349346116.

It is an arithmetic number, because the mean of its divisors is an integer number (772756848000).

Almost surely, 220320121010301 is an apocalyptic number.

It is an amenable number.

20320121010301 is a deficient number, since it is larger than the sum of its proper divisors (4408098125699).

20320121010301 is an equidigital number, since it uses as much as digits as its factorization.

20320121010301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102494 (or 102480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20320121010301 its reverse (10301012102302), we get a palindrome (30621133112603).

The spelling of 20320121010301 in words is "twenty trillion, three hundred twenty billion, one hundred twenty-one million, ten thousand, three hundred one".

Divisors: 1 7 23 49 161 343 1127 7889 44279 58171 309953 407197 1018417 1337933 2169671 2850379 7128919 9365531 15187697 19952653 49902433 65558717 349317031 458911019 2575753709 18030275963 59242335307 126211931741 414696347149 883483522187 2902874430043 20320121010301