Search a number
-
+
31203130313424 = 24319415931407229
BaseRepresentation
bin1110001100001000010110…
…11111111000101011010000
311002110222201210122021012210
413012010023133320223100
513042213002330012144
6150210304205152120
76400231441332366
oct706041337705320
9132428653567183
1031203130313424
119a4019a663a33
1235bb46125b640
13145459a406804
1479c34d51d636
153919e96e9ab9
hex1c610b7f8ad0

31203130313424 has 160 divisors (see below), whose sum is σ = 87066783619200. Its totient is φ = 9597069803520.

The previous prime is 31203130313413. The next prime is 31203130313437. The reversal of 31203130313424 is 42431303130213.

It is a junction number, because it is equal to n+sod(n) for n = 31203130313391 and 31203130313400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21469842 + ... + 22877070.

It is an arithmetic number, because the mean of its divisors is an integer number (544167397620).

Almost surely, 231203130313424 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 31203130313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43533391809600).

31203130313424 is an abundant number, since it is smaller than the sum of its proper divisors (55863653305776).

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

31203130313424 is a wasteful number, since it uses less digits than its factorization.

31203130313424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407893 (or 1407887 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 31203130313424 its reverse (42431303130213), we get a palindrome (73634433443637).

The spelling of 31203130313424 in words is "thirty-one trillion, two hundred three billion, one hundred thirty million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 593 656 779 912 984 1186 1558 1779 1968 2337 2372 3116 3558 4674 4744 6232 7116 9348 9488 11267 12464 14232 18696 22534 24313 28464 33801 37392 45068 48626 67602 72939 90136 97252 135204 145878 180272 194504 270408 291756 389008 461947 540816 583512 923894 1167024 1385841 1407229 1847788 2771682 2814458 3695576 4221687 5543364 5628916 7391152 8443374 11086728 11257832 16886748 22173456 22515664 26737351 33773496 53474702 57696389 67546992 80212053 106949404 115392778 160424106 173089167 213898808 230785556 320848212 346178334 427797616 461571112 641696424 692356668 834486797 923142224 1096231391 1283392848 1384713336 1668973594 2192462782 2503460391 2769426672 3288694173 3337947188 4384925564 5006920782 6577388346 6675894376 8769851128 10013841564 13154776692 13351788752 15855249143 17539702256 20027683128 26309553384 31710498286 34213958677 40055366256 47565747429 52619106768 63420996572 68427917354 95131494858 102641876031 126841993144 136855834708 190262989716 205283752062 253683986288 273711669416 380525979432 410567504124 547423338832 650065214863 761051958864 821135008248 1300130429726 1642270016496 1950195644589 2600260859452 3900391289178 5200521718904 7800782578356 10401043437808 15601565156712 31203130313424