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211204102340 = 225711137145521
BaseRepresentation
bin1100010010110010111…
…1101101100011000100
3202012011011210001111202
43010230233231203010
511430021222233330
6241005324522032
721154556151260
oct3045457554304
9665134701452
10211204102340
1181631234110
1234b239b0318
1316bbb60912a
14a3181210a0
155761dcd445
hex312cbed8c4

211204102340 has 48 divisors (see below), whose sum is σ = 552970744704. Its totient is φ = 65829849600.

The previous prime is 211204102331. The next prime is 211204102367. The reversal of 211204102340 is 43201402112.

211204102340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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, 68571221 + ... + 68574300.

It is an arithmetic number, because the mean of its divisors is an integer number (11520223848).

Almost surely, 2211204102340 is an apocalyptic number.

211204102340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211204102340 is an abundant number, since it is smaller than the sum of its proper divisors (341766642364).

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

211204102340 is a wasteful number, since it uses less digits than its factorization.

211204102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137145548 (or 137145546 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211204102340 its reverse (43201402112), we get a palindrome (254405504452).

The spelling of 211204102340 in words is "two hundred eleven billion, two hundred four million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 137145521 274291042 548582084 685727605 960018647 1371455210 1508600731 1920037294 2742910420 3017201462 3840074588 4800093235 6034402924 7543003655 9600186470 10560205117 15086007310 19200372940 21120410234 30172014620 42240820468 52801025585 105602051170 211204102340