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11022302120 = 2355973137467
BaseRepresentation
bin10100100001111101…
…01111101110101000
31001110011101221222212
422100332233232220
5140033202131440
65021422104252
7540100010414
oct122076575650
931404357885
1011022302120
1147468907a5
12217741b088
13106873587b
14767c37d44
154479e7465
hex290fafba8

11022302120 has 128 divisors (see below), whose sum is σ = 25807766400. Its totient is φ = 4234530816.

The previous prime is 11022302017. The next prime is 11022302129. The reversal of 11022302120 is 2120322011.

It is a happy number.

It is a super-2 number, since 2×110223021202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11022302095 and 11022302104.

It is not an unprimeable number, because it can be changed into a prime (11022302129) 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 31 ways as a sum of consecutive naturals, for example, 23602127 + ... + 23602593.

It is an arithmetic number, because the mean of its divisors is an integer number (201623175).

Almost surely, 211022302120 is an apocalyptic number.

11022302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903883200).

11022302120 is an abundant number, since it is smaller than the sum of its proper divisors (14785464280).

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

11022302120 is a wasteful number, since it uses less digits than its factorization.

11022302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11022302120 its reverse (2120322011), we get a palindrome (13142624131).

The spelling of 11022302120 in words is "eleven billion, twenty-two million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 73 118 137 146 236 274 292 295 365 467 472 548 584 590 685 730 934 1096 1180 1370 1460 1868 2335 2360 2740 2920 3736 4307 4670 5480 8083 8614 9340 10001 16166 17228 18680 20002 21535 27553 32332 34091 34456 40004 40415 43070 50005 55106 63979 64664 68182 80008 80830 86140 100010 110212 127958 136364 137765 161660 170455 172280 200020 220424 255916 272728 275530 319895 323320 340910 400040 511832 551060 590059 639790 681820 1102120 1180118 1279580 1363640 2011369 2360236 2559160 2950295 3774761 4022738 4670467 4720472 5900590 7549522 8045476 9340934 10056845 11801180 15099044 16090952 18681868 18873805 20113690 23352335 23602360 30198088 37363736 37747610 40227380 46704670 75495220 80454760 93409340 150990440 186818680 275557553 551115106 1102230212 1377787765 2204460424 2755575530 5511151060 11022302120