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312031202130213 = 33773137439164013
BaseRepresentation
bin100011011110010100110110…
…0111101100011100100100101
31111220210220001222100010122220
41012330221230331203210211
5311344304400221131323
63023345053320142553
7122503340033311206
oct10674515475434445
91456726058303586
10312031202130213
1190471764a695a5
122abb58a2307a59
1310515554248737
14570a5683855ad
1526119aabb50e3
hex11bca6cf63925

312031202130213 has 64 divisors (see below), whose sum is σ = 436406982861312. Its totient is φ = 198120683704320.

The previous prime is 312031202130161. The next prime is 312031202130247.

312031202130213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312031202130213 - 26 = 312031202130149 is a prime.

It is a super-2 number, since 2×3120312021302132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031202131213) 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, 4874465395 + ... + 4874529407.

It is an arithmetic number, because the mean of its divisors is an integer number (6818859107208).

Almost surely, 2312031202130213 is an apocalyptic number.

It is an amenable number.

312031202130213 is a deficient number, since it is larger than the sum of its proper divisors (124375780731099).

312031202130213 is a wasteful number, since it uses less digits than its factorization.

312031202130213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68654.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 31203120 and 2130213, that added together give a palindrome (33333333).

The spelling of 312031202130213 in words is "three hundred twelve trillion, thirty-one billion, two hundred two million, one hundred thirty thousand, two hundred thirteen".

Divisors: 1 3 37 73 111 137 219 411 2701 4391 5069 8103 10001 13173 15207 30003 64013 162467 192039 320543 370037 487401 601567 961629 1110111 1804701 2368481 4672949 7105443 8769781 11860091 14018847 22257979 26309343 35580273 43914391 66773937 131743173 172899113 281081083 324481897 518697339 640194013 843243249 973445691 1624832467 1920582039 4874497401 10400000071 20518919059 23687178481 31200000213 38508108371 61556757177 71061535443 115524325113 759200005183 1424800009727 2277600015549 2811091911083 4274400029181 8433275733249 104010400710071 312031202130213