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211324232434040 = 235111513180677791
BaseRepresentation
bin110000000011001011000001…
…110011101000000101111000
31000201020101210002210221212222
4300003023001303220011320
5210144314012000342130
62025241002343223212
762340446323645325
oct6003130163500570
91021211702727788
10211324232434040
1161375115aa7950
121b850075a47b08
1390bba35a0ccab
143a2820c75db4c
15196706550cce5
hexc032c1ce8178

211324232434040 has 64 divisors (see below), whose sum is σ = 522140066334720. Its totient is φ = 76336266960000.

The previous prime is 211324232434033. The next prime is 211324232434043. The reversal of 211324232434040 is 40434232423112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211324232434043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1590272456 + ... + 1590405335.

It is an arithmetic number, because the mean of its divisors is an integer number (8158438536480).

Almost surely, 2211324232434040 is an apocalyptic number.

211324232434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211324232434040 is an abundant number, since it is smaller than the sum of its proper divisors (310815833900680).

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

211324232434040 is a wasteful number, since it uses less digits than its factorization.

211324232434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180677964 (or 3180677960 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 211324232434040 its reverse (40434232423112), we get a palindrome (251758464857152).

The spelling of 211324232434040 in words is "two hundred eleven trillion, three hundred twenty-four billion, two hundred thirty-two million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 604 755 1208 1510 1661 3020 3322 6040 6644 8305 13288 16610 33220 66440 3180677791 6361355582 12722711164 15903388955 25445422328 31806777910 34987455701 63613555820 69974911402 127227111640 139949822804 174937278505 279899645608 349874557010 480282346441 699749114020 960564692882 1399498228040 1921129385764 2401411732205 3842258771528 4802823464410 5283105810851 9605646928820 10566211621702 19211293857640 21132423243404 26415529054255 42264846486808 52831058108510 105662116217020 211324232434040