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121010310304013 = 1322905572464361
BaseRepresentation
bin11011100000111011101000…
…100011110101000100001101
3120212110110202120212011122002
4123200323220203311010031
5111330113103414212023
61105211211421002045
734326464204111444
oct3340735043650415
9525413676764562
10121010310304013
1135615203486109
12116a47380b3325
13526a2b977a800
1421c4d04931d5b
15decb51121b28
hex6e0ee88f510d

121010310304013 has 12 divisors (see below), whose sum is σ = 131035337201268. Its totient is φ = 111701395128960.

The previous prime is 121010310304007. The next prime is 121010310304031. The reversal of 121010310304013 is 310403013010121.

It can be written as a sum of positive squares in 6 ways, for example, as 15877339991044 + 105132970312969 = 3984638^2 + 10253437^2 .

It is a de Polignac number, because none of the positive numbers 2k-121010310304013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121010310304003) 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 11 ways as a sum of consecutive naturals, for example, 47871953 + ... + 50336313.

It is an arithmetic number, because the mean of its divisors is an integer number (10919611433439).

Almost surely, 2121010310304013 is an apocalyptic number.

121010310304013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121010310304013 is a deficient number, since it is larger than the sum of its proper divisors (10025026897255).

121010310304013 is a wasteful number, since it uses less digits than its factorization.

121010310304013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754944 (or 2754931 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121010310304013 its reverse (310403013010121), we get a palindrome (431413323314134).

The spelling of 121010310304013 in words is "one hundred twenty-one trillion, ten billion, three hundred ten million, three hundred four thousand, thirteen".

Divisors: 1 13 169 290557 2464361 3777241 32036693 49104133 416477009 716037339077 9308485408001 121010310304013