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11022122320 = 2451121138649
BaseRepresentation
bin10100100001111100…
…00011110101010000
31001110011001211100121
422100332003311100
5140033130403240
65021414200024
7540065331256
oct122076036520
931404054317
1011022122320
114746778700
122177353014
1310686a1a91
14767bcc5d6
154479ae04a
hex290f83d50

11022122320 has 60 divisors (see below), whose sum is σ = 28167923700. Its totient is φ = 4008040960.

The previous prime is 11022122311. The next prime is 11022122393. The reversal of 11022122320 is 2322122011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3363072064 + 7659050256 = 57992^2 + 87516^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11022122294 and 11022122303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559645 + ... + 579004.

It is an arithmetic number, because the mean of its divisors is an integer number (469465395).

Almost surely, 211022122320 is an apocalyptic number.

11022122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022122320 is an abundant number, since it is smaller than the sum of its proper divisors (17145801380).

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

11022122320 is a wasteful number, since it uses less digits than its factorization.

11022122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138684 (or 1138667 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11022122320 its reverse (2322122011), we get a palindrome (13344244331).

The spelling of 11022122320 in words is "eleven billion, twenty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 1138649 2277298 4554596 5693245 9109192 11386490 12525139 18218384 22772980 25050278 45545960 50100556 62625695 91091920 100201112 125251390 137776529 200402224 250502780 275553058 501005560 551106116 688882645 1002011120 1102212232 1377765290 2204424464 2755530580 5511061160 11022122320