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211431432340 = 22567235766943
BaseRepresentation
bin1100010011101001001…
…0111010000010010100
3202012202000112121122101
43010322102322002110
511431002421313330
6241044045211444
721163316344042
oct3047222720224
9665660477571
10211431432340
1181738593547
1234b87b60b84
1316c2674201b
14a33a3b9392
155776d354ca
hex313a4ba094

211431432340 has 48 divisors (see below), whose sum is σ = 450830886912. Its totient is φ = 83273705856.

The previous prime is 211431432301. The next prime is 211431432353. The reversal of 211431432340 is 43234134112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211431432299 and 211431432308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3124909 + ... + 3191851.

It is an arithmetic number, because the mean of its divisors is an integer number (9392310144).

Almost surely, 2211431432340 is an apocalyptic number.

211431432340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211431432340 is an abundant number, since it is smaller than the sum of its proper divisors (239399454572).

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

211431432340 is a wasteful number, since it uses less digits than its factorization.

211431432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69376 (or 69374 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 211431432340 its reverse (43234134112), we get a palindrome (254665566452).

The spelling of 211431432340 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 2357 4714 9428 11785 23570 47140 66943 133886 157919 267772 315838 334715 631676 669430 789595 1338860 1579190 3158380 4485181 8970362 17940724 22425905 44851810 89703620 157784651 315569302 631138604 788923255 1577846510 3155693020 10571571617 21143143234 42286286468 52857858085 105715716170 211431432340