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313100224112 = 24132414760089
BaseRepresentation
bin1001000111001100011…
…10100100011001110000
31002221011111022100211202
410203212032210121300
520112212124132422
6355500344230332
731422625664504
oct4434616443160
91087144270752
10313100224112
1111086aa065a5
125082076b3a8
13236a9bc2100
1411222d1a304
15822780bb92
hex48e63a4670

313100224112 has 120 divisors (see below), whose sum is σ = 687235389120. Its totient is φ = 137981276160.

The previous prime is 313100224109. The next prime is 313100224117. The reversal of 313100224112 is 211422001313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313100224117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5180564 + ... + 5240652.

It is an arithmetic number, because the mean of its divisors is an integer number (5726961576).

Almost surely, 2313100224112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313100224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343617694560).

313100224112 is an abundant number, since it is smaller than the sum of its proper divisors (374135165008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313100224112 is a wasteful number, since it uses less digits than its factorization.

313100224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60211 (or 60192 counting only the distinct ones).

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

Adding to 313100224112 its reverse (211422001313), we get a palindrome (524522225425).

The spelling of 313100224112 in words is "three hundred thirteen billion, one hundred million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 41 47 52 82 94 104 164 169 188 208 328 338 376 533 611 656 676 752 1066 1222 1352 1927 2132 2444 2704 3854 4264 4888 6929 7708 7943 8528 9776 13858 15416 15886 25051 27716 30832 31772 50102 55432 60089 63544 100204 110864 120178 127088 200408 240356 325663 400816 480712 651326 781157 961424 1302652 1562314 2463649 2605304 2824183 3124628 4927298 5210608 5648366 6249256 9854596 10155041 11296732 12498512 19709192 20310082 22593464 32027437 36714379 39418384 40620164 45186928 64054874 73428758 81240328 115791503 128109748 146857516 162480656 231583006 256219496 293715032 416356681 463166012 477286927 512438992 587430064 832713362 926332024 954573854 1505289539 1665426724 1852664048 1909147708 3010579078 3330853448 3818295416 6021158156 6661706896 7636590832 12042316312 19568764007 24084632624 39137528014 78275056028 156550112056 313100224112