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311431003001340 = 223531473562468577
BaseRepresentation
bin100011011001111101010111…
…0010011100101000111111100
31111211200111212001210021201020
41012303322232103211013330
5311304441143232020330
63022205232213544140
7122412101402014425
oct10663725623450774
91454614761707636
10311431003001340
1190260168228592
122ab194b8945050
13104a0a8227a5c1
1456c94ab8a864c
15260107d611210
hex11b3eae4e51fc

311431003001340 has 96 divisors (see below), whose sum is σ = 919287891615744. Its totient is φ = 78659306158080.

The previous prime is 311431003001333. The next prime is 311431003001389. The reversal of 311431003001340 is 43100300134113.

It is a self number, because there is not a number n which added to its sum of digits gives 311431003001340.

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, 1781146869 + ... + 1781321708.

It is an arithmetic number, because the mean of its divisors is an integer number (9575915537664).

Almost surely, 2311431003001340 is an apocalyptic number.

311431003001340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311431003001340 is an abundant number, since it is smaller than the sum of its proper divisors (607856888614404).

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

311431003001340 is a wasteful number, since it uses less digits than its factorization.

311431003001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562468667 (or 3562468665 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 311431003001340 its reverse (43100300134113), we get a palindrome (354531303135453).

The spelling of 311431003001340 in words is "three hundred eleven trillion, four hundred thirty-one billion, three million, one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 47 60 62 93 94 124 141 155 186 188 235 282 310 372 465 470 564 620 705 930 940 1410 1457 1860 2820 2914 4371 5828 7285 8742 14570 17484 21855 29140 43710 87420 3562468577 7124937154 10687405731 14249874308 17812342885 21374811462 35624685770 42749622924 53437028655 71249371540 106874057310 110436525887 167436023119 213748114620 220873051774 331309577661 334872046238 441746103548 502308069357 552182629435 662619155322 669744092476 837180115595 1004616138714 1104365258870 1325238310644 1656547888305 1674360231190 2009232277428 2208730517740 2511540346785 3313095776610 3348720462380 5023080693570 5190516716689 6626191553220 10046161387140 10381033433378 15571550150067 20762066866756 25952583583445 31143100300134 51905167166890 62286200600268 77857750750335 103810334333780 155715501500670 311431003001340