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11021132320 = 255116262007
BaseRepresentation
bin10100100001110100…
…10010001000100000
31001110002012112022221
422100322102020200
5140032402213240
65021341040424
7540054036052
oct122072221040
931402175287
1011021132320
114746161920
122176b56114
131068416293
14767a118d2
15447865a4a
hex290e92220

11021132320 has 48 divisors (see below), whose sum is σ = 28404468288. Its totient is φ = 4007683840.

The previous prime is 11021132293. The next prime is 11021132321. The reversal of 11021132320 is 2323112011.

It is a super-2 number, since 2×110211323202 (a number of 21 digits) contains 22 as substring.

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 = 11021132294 and 11021132303.

It is not an unprimeable number, because it can be changed into a prime (11021132321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3129244 + ... + 3132763.

It is an arithmetic number, because the mean of its divisors is an integer number (591759756).

Almost surely, 211021132320 is an apocalyptic number.

11021132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021132320 is an abundant number, since it is smaller than the sum of its proper divisors (17383335968).

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

11021132320 is a wasteful number, since it uses less digits than its factorization.

11021132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262033 (or 6262025 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11021132320 its reverse (2323112011), we get a palindrome (13344244331).

It can be divided in two parts, 11021 and 132320, that added together give a palindrome (143341).

The spelling of 11021132320 in words is "eleven billion, twenty-one million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6262007 12524014 25048028 31310035 50096056 62620070 68882077 100192112 125240140 137764154 200384224 250480280 275528308 344410385 500960560 551056616 688820770 1001921120 1102113232 1377641540 2204226464 2755283080 5510566160 11021132320