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313114241401300 = 225237591977280863
BaseRepresentation
bin100011100110001101001011…
…1001000100000000111010100
31112001122102120211210121021201
41013030122113020200013110
5312020030431244320200
63025534410254322244
7122644520536235413
oct10714322710400724
91461572524717251
10313114241401300
119084a005443959
122b14b779ab9384
1310593714200431
145746b4b07347a
15262ec47649c6a
hex11cc6972201d4

313114241401300 has 144 divisors (see below), whose sum is σ = 713251493982720. Its totient is φ = 119187128471040.

The previous prime is 313114241401201. The next prime is 313114241401343. The reversal of 313114241401300 is 3104142411313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39364669 + ... + 46645531.

It is an arithmetic number, because the mean of its divisors is an integer number (4953135374880).

Almost surely, 2313114241401300 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 313114241401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356625746991360).

313114241401300 is an abundant number, since it is smaller than the sum of its proper divisors (400137252581420).

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

313114241401300 is a wasteful number, since it uses less digits than its factorization.

313114241401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281170 (or 7281163 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 313114241401300 its reverse (3104142411313), we get a palindrome (316218383812613).

The spelling of 313114241401300 in words is "three hundred thirteen trillion, one hundred fourteen billion, two hundred forty-one million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 59 74 100 118 148 185 197 236 295 370 394 590 740 788 925 985 1180 1475 1850 1970 2183 2950 3700 3940 4366 4925 5900 7289 8732 9850 10915 11623 14578 19700 21830 23246 29156 36445 43660 46492 54575 58115 72890 109150 116230 145780 182225 218300 232460 290575 364450 430051 581150 728900 860102 1162300 1720204 2150255 4300510 7280863 8601020 10751275 14561726 21502550 29123452 36404315 43005100 72808630 145617260 182021575 269391931 364043150 429570917 538783862 728086300 859141834 1077567724 1346959655 1434330011 1718283668 2147854585 2693919310 2868660022 4295709170 5387838620 5737320044 6734798275 7171650055 8591418340 10739272925 13469596550 14343300110 15894123929 21478545850 26939193100 28686600220 31788247858 35858250275 42957091700 53070210407 63576495716 71716500550 79470619645 84625470649 106140420814 143433001100 158941239290 169250941298 212280841628 265351052035 317882478580 338501882596 397353098225 423127353245 530702104070 794706196450 846254706490 1061404208140 1326755260175 1589412392900 1692509412980 2115636766225 2653510520350 3131142414013 4231273532450 5307021040700 6262284828026 8462547064900 12524569656052 15655712070065 31311424140130 62622848280260 78278560350325 156557120700650 313114241401300