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312421213141312 = 26112344343554827
BaseRepresentation
bin100011100001001010011101…
…1011011011111100101000000
31111222012011202111212021220211
41013002110323123133211000
5311422202121031010222
63024244153545443504
7122543454623230462
oct10702247333374500
91458164674767824
10312421213141312
1190602102017770
122b0593a81a0594
131054326a253452
1457213a5a50132
15261bbd5678277
hex11c253b6df940

312421213141312 has 112 divisors (see below), whose sum is σ = 707319256684032. Its totient is φ = 135528680967680.

The previous prime is 312421213141307. The next prime is 312421213141313. The reversal of 312421213141312 is 213141312124213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312421213141313) 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, 14604358 + ... + 28950469.

Almost surely, 2312421213141312 is an apocalyptic number.

312421213141312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312421213141312 is an abundant number, since it is smaller than the sum of its proper divisors (394898043542720).

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

312421213141312 is a wasteful number, since it uses less digits than its factorization.

312421213141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43555316 (or 43555306 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

Adding to 312421213141312 its reverse (213141312124213), we get a palindrome (525562525265525).

The spelling of 312421213141312 in words is "three hundred twelve trillion, four hundred twenty-one billion, two hundred thirteen million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 443 506 704 736 886 1012 1472 1772 2024 3544 4048 4873 7088 8096 9746 10189 14176 16192 19492 20378 28352 38984 40756 77968 81512 112079 155936 163024 224158 311872 326048 448316 652096 896632 1793264 3586528 7173056 43554827 87109654 174219308 348438616 479103097 696877232 958206194 1001761021 1393754464 1916412388 2003522042 2787508928 3832824776 4007044084 7665649552 8014088168 11019371231 15331299104 16028176336 19294788361 22038742462 30662598208 32056352672 38589576722 44077484924 64112705344 77179153444 88154969848 154358306888 176309939696 212242671971 308716613776 352619879392 424485343942 443780132303 617433227552 705239758784 848970687884 887560264606 1234866455104 1697941375768 1775120529212 3395882751536 3550241058424 4881581455333 6791765503072 7100482116848 9763162910666 13583531006144 14200964233696 19526325821332 28401928467392 39052651642664 78105303285328 156210606570656 312421213141312