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211422211020 = 22335715514403
BaseRepresentation
bin1100010011100110111…
…1101110101111001100
3202012201101012010101000
43010321233232233030
511430443041223040
6241043115420300
721163145066526
oct3047157565714
9665641163330
10211422211020
1181733365419
1234b84a54690
1316c24863a17
14a339098a16
155776113130
hex3139beebcc

211422211020 has 96 divisors (see below), whose sum is σ = 667022307840. Its totient is φ = 55585172160.

The previous prime is 211422211019. The next prime is 211422211087. The reversal of 211422211020 is 20112224112.

211422211020 is a `hidden beast` number, since 2 + 11 + 422 + 211 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211422210984 and 211422211002.

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 31 ways as a sum of consecutive naturals, for example, 2718862 + ... + 2795541.

It is an arithmetic number, because the mean of its divisors is an integer number (6948149040).

Almost surely, 2211422211020 is an apocalyptic number.

211422211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211422211020 is an abundant number, since it is smaller than the sum of its proper divisors (455600096820).

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

211422211020 is a wasteful number, since it uses less digits than its factorization.

211422211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514492 (or 5514484 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211422211020 its reverse (20112224112), we get a palindrome (231534435132).

The spelling of 211422211020 in words is "two hundred eleven billion, four hundred twenty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 38340 5514403 11028806 16543209 22057612 27572015 33086418 49629627 55144030 66172836 82716045 99259254 110288060 148888881 165432090 198518508 248148135 297777762 330864180 391522613 496296270 595555524 744444405 783045226 992592540 1174567839 1488888810 1566090452 1957613065 2349135678 2977777620 3523703517 3915226130 4698271356 5872839195 7047407034 7830452260 10571110551 11745678390 14094814068 17618517585 21142221102 23491356780 35237035170 42284442204 52855552755 70474070340 105711105510 211422211020