Search a number
-
+
310201222102013 = 113832807936981
BaseRepresentation
bin100011010001000000101100…
…1101001101111101111111101
31111200022221120112001201222102
41012202001121221233233331
5311124314100324231023
63015424250225154445
7122224204313602124
oct10642013151575775
91450287515051872
10310201222102013
118a926665a47000
122a95b0a978ba25
1310411b07b11a98
145685b6808aabb
1525ce0a417a628
hex11a2059a6fbfd

310201222102013 has 16 divisors (see below), whose sum is σ = 345308858298432. Its totient is φ = 278603507155600.

The previous prime is 310201222101949. The next prime is 310201222102049.

310201222102013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310201222102013 - 26 = 310201222101949 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 (310201222102813) 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, 1403858018 + ... + 1404078963.

It is an arithmetic number, because the mean of its divisors is an integer number (21581803643652).

Almost surely, 2310201222102013 is an apocalyptic number.

It is an amenable number.

310201222102013 is a deficient number, since it is larger than the sum of its proper divisors (35107636196419).

310201222102013 is an equidigital number, since it uses as much as digits as its factorization.

310201222102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807937097 (or 2807937075 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 310201222102013 in words is "three hundred ten trillion, two hundred one billion, two hundred twenty-two million, one hundred two thousand, thirteen".

Divisors: 1 11 83 121 913 1331 10043 110473 2807936981 30887306791 233058769423 339760374701 2563646463653 3737364121711 28200111100183 310201222102013