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11922051000 = 233534392419
BaseRepresentation
bin10110001101001110…
…00000111110111000
31010202212102221102110
423012213000332320
5143404021113000
65251002532320
7601303522116
oct130647007670
933685387373
1011922051000
115068761412
1223888070a0
13117cc71b62
1481152aab6
1549b9c4850
hex2c69c0fb8

11922051000 has 128 divisors (see below), whose sum is σ = 38062252800. Its totient is φ = 3105244800.

The previous prime is 11922050983. The next prime is 11922051019. The reversal of 11922051000 is 15022911.

11922051000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82791 + ... + 175209.

It is an arithmetic number, because the mean of its divisors is an integer number (297361350).

Almost surely, 211922051000 is an apocalyptic number.

11922051000 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 11922051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031126400).

11922051000 is an abundant number, since it is smaller than the sum of its proper divisors (26140201800).

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

11922051000 is a wasteful number, since it uses less digits than its factorization.

11922051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92486 (or 92472 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 11922051000 its reverse (15022911), we get a palindrome (11937073911).

The spelling of 11922051000 in words is "eleven billion, nine hundred twenty-two million, fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 43000 64500 92419 129000 184838 277257 369676 462095 554514 739352 924190 1109028 1386285 1848380 2218056 2310475 2772570 3696760 3974017 4620950 5545140 6931425 7948034 9241900 11090280 11552375 11922051 13862850 15896068 18483800 19870085 23104750 23844102 27725700 31792136 34657125 39740170 46209500 47688204 55451400 59610255 69314250 79480340 92419000 95376408 99350425 119220510 138628500 158960680 198700850 238441020 277257000 298051275 397401700 476882040 496752125 596102550 794803400 993504250 1192205100 1490256375 1987008500 2384410200 2980512750 3974017000 5961025500 11922051000