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111322000000 = 275655661
BaseRepresentation
bin110011110101101001…
…1101110101010000000
3101122100012222112110001
41213223103232222000
53310441413000000
6123050212445344
711020443246601
oct1475323565200
9348305875401
10111322000000
11432364042a2
12196a9619854
13a661368723
1455609cdda8
152d681d146a
hex19eb4eea80

111322000000 has 112 divisors (see below), whose sum is σ = 277219303110. Its totient is φ = 44528000000.

The previous prime is 111321999973. The next prime is 111322000001. The reversal of 111322000000 is 223111.

It can be written as a sum of positive squares in 7 ways, for example, as 72051443776 + 39270556224 = 268424^2 + 198168^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (111322000001) 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 13 ways as a sum of consecutive naturals, for example, 1972170 + ... + 2027830.

Almost surely, 2111322000000 is an apocalyptic number.

111322000000 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 111322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138609651555).

111322000000 is an abundant number, since it is smaller than the sum of its proper divisors (165897303110).

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

111322000000 is an frugal number, since it uses more digits than its factorization.

111322000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55705 (or 55668 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 111322000000 its reverse (223111), we get a palindrome (111322223111).

The spelling of 111322000000 in words is "one hundred eleven billion, three hundred twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 55661 62500 80000 100000 111322 125000 200000 222644 250000 278305 400000 445288 500000 556610 890576 1000000 1113220 1391525 1781152 2000000 2226440 2783050 3562304 4452880 5566100 6957625 7124608 8905760 11132200 13915250 17811520 22264400 27830500 34788125 35623040 44528800 55661000 69576250 89057600 111322000 139152500 173940625 178115200 222644000 278305000 347881250 445288000 556610000 695762500 869703125 890576000 1113220000 1391525000 1739406250 2226440000 2783050000 3478812500 4452880000 5566100000 6957625000 11132200000 13915250000 22264400000 27830500000 55661000000 111322000000