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311432342020110 = 233523127033947897
BaseRepresentation
bin100011011001111101111111…
…0000111100010000000001110
31111211200122022101101111011000
41012303323332013202000032
5311310001414024120420
63022210013125441130
7122412146521335303
oct10663737607420016
91454618271344130
10311432342020110
1190260795056173
122ab198112701a6
13104a0c367c75bc
1456c95976650aa
15260110ae5c690
hex11b3efe1e200e

311432342020110 has 128 divisors (see below), whose sum is σ = 866662782197760. Its totient is φ = 79431541187328.

The previous prime is 311432342020097. The next prime is 311432342020159. The reversal of 311432342020110 is 11020243234113.

311432342020110 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 3 + 23 + 420 + 201 + 10 = 666.

It is a super-2 number, since 2×3114323420201102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76911682 + ... + 80859578.

It is an arithmetic number, because the mean of its divisors is an integer number (6770802985920).

Almost surely, 2311432342020110 is an apocalyptic number.

311432342020110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311432342020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433331391098880).

311432342020110 is an abundant number, since it is smaller than the sum of its proper divisors (555230440177650).

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

311432342020110 is a wasteful number, since it uses less digits than its factorization.

311432342020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960639 (or 3960633 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 311432342020110 its reverse (11020243234113), we get a palindrome (322452585254223).

The spelling of 311432342020110 in words is "three hundred eleven trillion, four hundred thirty-two billion, three hundred forty-two million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 12703 25406 38109 63515 76218 114327 127030 190545 228654 292169 342981 381090 571635 584338 685962 876507 1143270 1460845 1714905 1753014 2629521 2921690 3429810 3947897 4382535 5259042 7888563 7895794 8765070 11843691 13147605 15777126 19739485 23687382 26295210 35531073 39442815 39478970 59218455 71062146 78885630 90801631 106593219 118436910 177655365 181603262 213186438 272404893 355310730 454008155 532966095 544809786 817214679 908016310 1065932190 1362024465 1634429358 2451644037 2724048930 4086073395 4903288074 8172146790 12258220185 24516440370 50150135591 100300271182 150450406773 250750677955 300900813546 451351220319 501501355910 752252033865 902702440638 1153453118593 1354053660957 1504504067730 2256756101595 2306906237186 2708107321914 3460359355779 4513512203190 5767265592965 6770268304785 6920718711558 10381078067337 11534531185930 13540536609570 17301796778895 20762156134674 31143234202011 34603593557790 51905390336685 62286468404022 103810780673370 155716171010055 311432342020110