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212302100340440 = 2351119151168178729
BaseRepresentation
bin110000010001011001101111…
…010001101001111011011000
31000211200212211101210112112122
4300101121233101221323120
5210311324200141343230
62031310123302200412
762501214650005205
oct6021315721517330
91024625741715478
10212302100340440
11617118a6a352a0
121b98969ba23108
139160004987156
143a5d69567ccac
1519826e8c51be5
hexc1166f469ed8

212302100340440 has 128 divisors (see below), whose sum is σ = 552164406336000. Its totient is φ = 72653210496000.

The previous prime is 212302100340377. The next prime is 212302100340511. The reversal of 212302100340440 is 44043001203212.

212302100340440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 82827005 + ... + 85351724.

It is an arithmetic number, because the mean of its divisors is an integer number (4313784424500).

Almost surely, 2212302100340440 is an apocalyptic number.

212302100340440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212302100340440 is an abundant number, since it is smaller than the sum of its proper divisors (339862305995560).

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

212302100340440 is a wasteful number, since it uses less digits than its factorization.

212302100340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168178921 (or 168178917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 212302100340440 its reverse (44043001203212), we get a palindrome (256345101543652).

The spelling of 212302100340440 in words is "two hundred twelve trillion, three hundred two billion, one hundred million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 151 152 190 209 220 302 380 418 440 604 755 760 836 1045 1208 1510 1661 1672 2090 2869 3020 3322 4180 5738 6040 6644 8305 8360 11476 13288 14345 16610 22952 28690 31559 33220 57380 63118 66440 114760 126236 157795 252472 315590 631180 1262360 168178729 336357458 672714916 840893645 1345429832 1681787290 1849966019 3195395851 3363574580 3699932038 6390791702 6727149160 7399864076 9249830095 12781583404 14799728152 15976979255 18499660190 25394988079 25563166808 31953958510 35149354361 36999320380 50789976158 63907917020 70298708722 73998640760 101579952316 126974940395 127815834040 140597417444 175746771805 203159904632 253949880790 279344868869 281194834888 351493543610 482504773501 507899761580 558689737738 702987087220 965009547002 1015799523160 1117379475476 1396724344345 1405974174440 1930019094004 2234758950952 2412523867505 2793448688690 3860038188008 4825047735010 5307552508511 5586897377380 9650095470020 10615105017022 11173794754760 19300190940040 21230210034044 26537762542555 42460420068088 53075525085110 106151050170220 212302100340440