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11231022000 = 2435311170167
BaseRepresentation
bin10100111010110101…
…11100101110110000
31001222201011000211210
422131122330232300
5141000120201000
65054235440120
7545213053242
oct123532745660
931881130753
1011231022000
11484368a070
1222152b6040
13109ca53b63
1478784a092
1545aec5350
hex29d6bcbb0

11231022000 has 160 divisors (see below), whose sum is σ = 39500757504. Its totient is φ = 2722656000.

The previous prime is 11231021993. The next prime is 11231022007. The reversal of 11231022000 is 22013211.

It is an interprime number because it is at equal distance from previous prime (11231021993) and next prime (11231022007).

It is a super-2 number, since 2×112310220002 (a number of 21 digits) contains 22 as substring.

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 (11231022007) 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, 19084 + ... + 151083.

Almost surely, 211231022000 is an apocalyptic number.

11231022000 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 11231022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19750378752).

11231022000 is an abundant number, since it is smaller than the sum of its proper divisors (28269735504).

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

11231022000 is a wasteful number, since it uses less digits than its factorization.

11231022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170204 (or 170188 counting only the distinct ones).

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

Adding to 11231022000 its reverse (22013211), we get a palindrome (11253035211).

The spelling of 11231022000 in words is "eleven billion, two hundred thirty-one million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 170167 340334 510501 680668 850835 1021002 1361336 1701670 1871837 2042004 2552505 2722672 3403340 3743674 4084008 4254175 5105010 5615511 6806680 7487348 8168016 8508350 9359185 10210020 11231022 12762525 13613360 14974696 17016700 18718370 20420040 21270875 22462044 25525050 28077555 29949392 34033400 37436740 40840080 42541750 44924088 46795925 51050100 56155110 63812625 68066800 74873480 85083500 89848176 93591850 102100200 112310220 127625250 140387775 149746960 170167000 187183700 204200400 224620440 233979625 255250500 280775550 340334000 374367400 449240880 467959250 510501000 561551100 701938875 748734800 935918500 1021002000 1123102200 1403877750 1871837000 2246204400 2807755500 3743674000 5615511000 11231022000