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343214410214100 = 223523511370987853
BaseRepresentation
bin100111000001001101101010…
…1000000001010101011010100
31200000012222101100210021122110
41032002123111000022223110
5324441211103003322400
63213542305015031020
7132202265015536005
oct11602332500125324
91600188340707573
10343214410214100
119a3a4460a91617
12325b130366b470
1311967c98106c39
1460a7947a651ac
1529a2bdb3a6e50
hex13826d500aad4

343214410214100 has 144 divisors (see below), whose sum is σ = 993595650669440. Its totient is φ = 91472064652800.

The previous prime is 343214410214087. The next prime is 343214410214131. The reversal of 343214410214100 is 1412014412343.

It is a happy number.

It is a super-2 number, since 2×3432144102141002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3906645774 + ... + 3906733626.

Almost surely, 2343214410214100 is an apocalyptic number.

343214410214100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343214410214100 is an abundant number, since it is smaller than the sum of its proper divisors (650381240455340).

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

343214410214100 is a wasteful number, since it uses less digits than its factorization.

343214410214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95090 (or 95083 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 343214410214100 its reverse (1412014412343), we get a palindrome (344626424626443).

The spelling of 343214410214100 in words is "three hundred forty-three trillion, two hundred fourteen billion, four hundred ten million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3511 3709 7022 7418 10533 11127 14044 14836 17555 18545 21066 22254 35110 37090 42132 44508 52665 55635 70220 74180 87775 87853 92725 105330 111270 175550 175706 185450 210660 222540 263325 263559 278175 351100 351412 370900 439265 526650 527118 556350 878530 1053300 1054236 1112700 1317795 1757060 2196325 2635590 4392650 5271180 6588975 8785300 13022299 13177950 26044598 26355900 39066897 52089196 65111495 78133794 130222990 156267588 195334485 260445980 308451883 325557475 325846777 390668970 616903766 651114950 651693554 781337940 925355649 976672425 977540331 1233807532 1302229900 1303387108 1542259415 1629233885 1850711298 1953344850 1955080662 3084518830 3258467770 3701422596 3906689700 3910161324 4626778245 4887701655 6169037660 6516935540 7711297075 8146169425 9253556490 9775403310 15422594150 16292338850 18507112980 19550806620 23133891225 24438508275 30845188300 32584677700 46267782450 48877016550 92535564900 97754033100 1144048034047 2288096068094 3432144102141 4576192136188 5720240170235 6864288204282 11440480340470 13728576408564 17160720510705 22880960680940 28601200851175 34321441021410 57202401702350 68642882042820 85803602553525 114404803404700 171607205107050 343214410214100