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211234322040 = 233571092307059
BaseRepresentation
bin1100010010111010001…
…0111111011001111000
3202012020021122101010220
43010232202333121320
511430101441301130
6241012324340040
721155404053330
oct3045642773170
9665207571126
10211234322040
11816472a4675
1234b31b44620
1316bc495a101
14a31c14a0c0
15576489c410
hex312e8bf678

211234322040 has 128 divisors (see below), whose sum is σ = 730876608000. Its totient is φ = 47839154688.

The previous prime is 211234322023. The next prime is 211234322063. The reversal of 211234322040 is 40223432112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211234322040.

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, 1061970 + ... + 1245089.

It is an arithmetic number, because the mean of its divisors is an integer number (5709973500).

Almost surely, 2211234322040 is an apocalyptic number.

211234322040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211234322040 is an abundant number, since it is smaller than the sum of its proper divisors (519642285960).

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

211234322040 is a wasteful number, since it uses less digits than its factorization.

211234322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307189 (or 2307185 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 211234322040 its reverse (40223432112), we get a palindrome (251457754152).

The spelling of 211234322040 in words is "two hundred eleven billion, two hundred thirty-four million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 109 120 140 168 210 218 280 327 420 436 545 654 763 840 872 1090 1308 1526 1635 2180 2289 2616 3052 3270 3815 4360 4578 6104 6540 7630 9156 11445 13080 15260 18312 22890 30520 45780 91560 2307059 4614118 6921177 9228236 11535295 13842354 16149413 18456472 23070590 27684708 32298826 34605885 46141180 48448239 55369416 64597652 69211770 80747065 92282360 96896478 129195304 138423540 161494130 193792956 242241195 251469431 276847080 322988260 387585912 484482390 502938862 645976520 754408293 968964780 1005877724 1257347155 1508816586 1760286017 1937929560 2011755448 2514694310 3017633172 3520572034 3772041465 5029388620 5280858051 6035266344 7041144068 7544082930 8801430085 10058777240 10561716102 14082288136 15088165860 17602860170 21123432204 26404290255 30176331720 35205720340 42246864408 52808580510 70411440680 105617161020 211234322040