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2313042144413 = 71113311392632039
BaseRepresentation
bin100001101010001100000…
…011100010110010011101
322012010100212212110102212
4201222030003202302131
5300344102242110123
64530332532330205
7326053224554150
oct41521403426235
98163325773385
102313042144413
11811a56a98230
12314349173965
1313a1713cc5a0
147dd47babc97
154027a665878
hex21a8c0e2c9d

2313042144413 has 128 divisors (see below), whose sum is σ = 3242734387200. Its totient is φ = 1591616044800.

The previous prime is 2313042144401. The next prime is 2313042144433. The reversal of 2313042144413 is 3144412403132.

It is a cyclic number.

It is not a de Polignac number, because 2313042144413 - 24 = 2313042144397 is a prime.

It is a super-2 number, since 2×23130421444132 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2313042144413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313042144433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1134399248 + ... + 1134401286.

It is an arithmetic number, because the mean of its divisors is an integer number (25333862400).

Almost surely, 22313042144413 is an apocalyptic number.

It is an amenable number.

2313042144413 is a deficient number, since it is larger than the sum of its proper divisors (929692242787).

2313042144413 is a wasteful number, since it uses less digits than its factorization.

2313042144413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 2313042144413 its reverse (3144412403132), we get a palindrome (5457454547545).

The spelling of 2313042144413 in words is "two trillion, three hundred thirteen billion, forty-two million, one hundred forty-four thousand, four hundred thirteen".

Divisors: 1 7 11 13 31 77 91 139 143 217 263 341 403 973 1001 1529 1807 1841 2039 2387 2821 2893 3419 4309 4433 8153 10703 12649 14273 19877 20251 22429 23933 26507 30163 31031 36557 37609 47399 56017 57071 63209 89683 105989 139139 157003 185549 255899 263263 283421 291577 331793 392119 402127 442463 475241 536257 616187 627781 695299 741923 821717 1133267 1165879 1983947 2041039 2814889 3117631 3326687 3684473 3753799 4313309 4867093 5227651 5752019 5898827 6971341 7932869 8161153 8786051 9038887 12465937 14732471 16623967 21823417 25791311 36593557 40529203 41291789 48799387 61502357 63272209 74539723 76684751 87261559 96646561 103127297 114218663 116367769 162057181 182863637 216111571 283704421 521778061 536793257 676525927 799530641 819936953 969016399 1134400267 1256405293 1280045459 1512780997 2310731413 2377227281 5739558671 6783114793 8794837051 10659180389 16175119891 16640590967 25418045543 30039508369 74614262723 177926318801 210276558583 330434592059 2313042144413