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11023220000 = 25541342397
BaseRepresentation
bin10100100010000100…
…01111110100100000
31001110020010121002102
422101002033310200
5140033421020000
65021453505532
7540110552432
oct122102176440
931406117072
1011023220000
114747358381
1221777a22a8
1310689975b0
14767dd6652
15447b293d5
hex29108fd20

11023220000 has 120 divisors (see below), whose sum is σ = 29205523116. Its totient is φ = 4070016000.

The previous prime is 11023219993. The next prime is 11023220003. The reversal of 11023220000 is 2232011.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1899913744 + 9123306256 = 43588^2 + 95516^2 .

It is a super-2 number, since 2×110232200002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11023220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238802 + ... + 281198.

Almost surely, 211023220000 is an apocalyptic number.

11023220000 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 11023220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602761558).

11023220000 is an abundant number, since it is smaller than the sum of its proper divisors (18182303116).

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

11023220000 is an equidigital number, since it uses as much as digits as its factorization.

11023220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42440 (or 42417 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11023220000 its reverse (2232011), we get a palindrome (11025452011).

The spelling of 11023220000 in words is "eleven billion, twenty-three million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 42397 52000 65000 84794 130000 169588 211985 260000 339176 423970 551161 678352 847940 1059925 1102322 1356704 1695880 2119850 2204644 2755805 3391760 4239700 4409288 5299625 5511610 6783520 8479400 8818576 10599250 11023220 13779025 16958800 17637152 21198500 22046440 26498125 27558050 33917600 42397000 44092880 52996250 55116100 68895125 84794000 88185760 105992500 110232200 137790250 169588000 211985000 220464400 275580500 344475625 423970000 440928800 551161000 688951250 847940000 1102322000 1377902500 2204644000 2755805000 5511610000 11023220000