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311431321201220 = 2251123142434321259
BaseRepresentation
bin100011011001111101100000…
…1010001011010101001000100
31111211200112200020112111212222
41012303323001101122221010
5311304442321211414340
63022205323542031512
7122412112314455033
oct10663730121325104
91454615606474788
10311431321201220
11902603109028a0
122ab19587418598
13104a0b0317b35c
1456c94dbc5871a
15260109b5178b5
hex11b3ec145aa44

311431321201220 has 96 divisors (see below), whose sum is σ = 744533323914240. Its totient is φ = 108316307327360.

The previous prime is 311431321201219. The next prime is 311431321201277. The reversal of 311431321201220 is 22102123134113.

It is a self number, because there is not a number n which added to its sum of digits gives 311431321201220.

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, 69908951 + ... + 74230209.

It is an arithmetic number, because the mean of its divisors is an integer number (7755555457440).

Almost surely, 2311431321201220 is an apocalyptic number.

It is an amenable number.

311431321201220 is an abundant number, since it is smaller than the sum of its proper divisors (433102002713020).

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

311431321201220 is a wasteful number, since it uses less digits than its factorization.

311431321201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335545 (or 4335543 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 311431321201220 its reverse (22102123134113), we get a palindrome (333533444335333).

The spelling of 311431321201220 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 14243 28486 56972 71215 142430 156673 284860 313346 327589 626692 655178 783365 1310356 1566730 1637945 3133460 3275890 3603479 4321259 6551780 7206958 8642518 14413916 17285036 18017395 21606295 36034790 43212590 47533849 72069580 86425180 95067698 99388957 190135396 198777914 237669245 397555828 475338490 496944785 950676980 993889570 1093278527 1987779140 2186557054 4373114108 5466392635 10932785270 21865570540 61547691937 123095383874 246190767748 307738459685 615476919370 677024611307 1230953838740 1354049222614 1415596914551 2708098445228 2831193829102 3385123056535 5662387658204 6770246113070 7077984572755 13540492226140 14155969145510 15571566060061 28311938291020 31143132120122 62286264240244 77857830300305 155715660600610 311431321201220