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112231113000 = 2335379473549
BaseRepresentation
bin110100010000101111…
…1101110000100101000
3101201200120122021000220
41220201133232010220
53314322131104000
6123320330130040
711052122502036
oct1504137560450
9351616567026
10112231113000
11436625a0356
1219901b80920
13a777803006
14560963d556
152dbce0d1a0
hex1a217ee128

112231113000 has 128 divisors (see below), whose sum is σ = 354594240000. Its totient is φ = 29549395200.

The previous prime is 112231112989. The next prime is 112231113019. The reversal of 112231113000 is 311132211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 226 + ... + 473774.

It is an arithmetic number, because the mean of its divisors is an integer number (2770267500).

Almost surely, 2112231113000 is an apocalyptic number.

112231113000 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 112231113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177297120000).

112231113000 is an abundant number, since it is smaller than the sum of its proper divisors (242363127000).

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

112231113000 is a wasteful number, since it uses less digits than its factorization.

112231113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473652 (or 473638 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112231113000 its reverse (311132211), we get a palindrome (112542245211).

It can be divided in two parts, 1122311 and 13000, that added together give a palindrome (1135311).

The spelling of 112231113000 in words is "one hundred twelve billion, two hundred thirty-one million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 125 150 158 200 237 250 300 316 375 395 474 500 600 632 750 790 948 1000 1185 1500 1580 1896 1975 2370 3000 3160 3950 4740 5925 7900 9480 9875 11850 15800 19750 23700 29625 39500 47400 59250 79000 118500 237000 473549 947098 1420647 1894196 2367745 2841294 3788392 4735490 5682588 7103235 9470980 11365176 11838725 14206470 18941960 23677450 28412940 35516175 37410371 47354900 56825880 59193625 71032350 74820742 94709800 112231113 118387250 142064700 149641484 177580875 187051855 224462226 236774500 284129400 299282968 355161750 374103710 448924452 473549000 561155565 710323500 748207420 897848904 935259275 1122311130 1420647000 1496414840 1870518550 2244622260 2805777825 3741037100 4489244520 4676296375 5611555650 7482074200 9352592750 11223111300 14028889125 18705185500 22446222600 28057778250 37410371000 56115556500 112231113000