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211303110212120 = 23517674637908477
BaseRepresentation
bin110000000010110111010110…
…110100101111101000011000
31000201011101021001121220120102
4300002313112310233220120
5210143442232203241440
62025223150404514532
762336101024013363
oct6002672664575030
91021141231556512
10211303110212120
11613671670659a3
121b847b600aba48
1390b9a4a9a3b24
143a271a73d30da
15196672aebbb15
hexc02dd6d2fa18

211303110212120 has 64 divisors (see below), whose sum is σ = 510911997936480. Its totient is φ = 78362101610496.

The previous prime is 211303110212041. The next prime is 211303110212149. The reversal of 211303110212120 is 21212011303112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211303110212092 and 211303110212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2318908679 + ... + 2318999798.

Almost surely, 2211303110212120 is an apocalyptic number.

211303110212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211303110212120 is an abundant number, since it is smaller than the sum of its proper divisors (299608887724360).

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

211303110212120 is a wasteful number, since it uses less digits than its factorization.

211303110212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637908572 (or 4637908568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 211303110212120 its reverse (21212011303112), we get a palindrome (232515121515232).

The spelling of 211303110212120 in words is "two hundred eleven trillion, three hundred three billion, one hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 268 335 340 536 670 680 1139 1340 2278 2680 4556 5695 9112 11390 22780 45560 4637908477 9275816954 18551633908 23189542385 37103267816 46379084770 78844444109 92758169540 157688888218 185516339080 310739867959 315377776436 394222220545 621479735918 630755552872 788444441090 1242959471836 1553699339795 1576888882180 2485918943672 3107398679590 3153777764360 5282577755303 6214797359180 10565155510606 12429594718360 21130311021212 26412888776515 42260622042424 52825777553030 105651555106060 211303110212120