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11322021000 = 233537095323
BaseRepresentation
bin10101000101101100…
…00101010010001000
31002020001101021000010
422202312011102020
5141141414133000
65111250111520
7550366406403
oct124266052210
932201337003
1011322021000
11488aa92a54
12223b87b5a0
1310b5865714
14795976d3a
15463e9cd50
hex2a2d85488

11322021000 has 128 divisors (see below), whose sum is σ = 35381174400. Its totient is φ = 3014380800.

The previous prime is 11322020981. The next prime is 11322021001. The reversal of 11322021000 is 12022311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11322021001) 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 31 ways as a sum of consecutive naturals, for example, 2124339 + ... + 2129661.

It is an arithmetic number, because the mean of its divisors is an integer number (276415425).

Almost surely, 211322021000 is an apocalyptic number.

11322021000 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 11322021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690587200).

11322021000 is an abundant number, since it is smaller than the sum of its proper divisors (24059153400).

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

11322021000 is a wasteful number, since it uses less digits than its factorization.

11322021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11322021000 its reverse (12022311), we get a palindrome (11334043311).

The spelling of 11322021000 in words is "eleven billion, three hundred twenty-two million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 709 750 1000 1418 1500 2127 2836 3000 3545 4254 5323 5672 7090 8508 10635 10646 14180 15969 17016 17725 21270 21292 26615 28360 31938 35450 42540 42584 53175 53230 63876 70900 79845 85080 88625 106350 106460 127752 133075 141800 159690 177250 212700 212920 265875 266150 319380 354500 399225 425400 531750 532300 638760 665375 709000 798450 1063500 1064600 1330750 1596900 1996125 2127000 2661500 3193800 3774007 3992250 5323000 7548014 7984500 11322021 15096028 15969000 18870035 22644042 30192056 37740070 45288084 56610105 75480140 90576168 94350175 113220210 150960280 188700350 226440420 283050525 377400700 452880840 471750875 566101050 754801400 943501750 1132202100 1415252625 1887003500 2264404200 2830505250 3774007000 5661010500 11322021000