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112342003000 = 23531936716111
BaseRepresentation
bin110100010100000011…
…0101110110100111000
3101201222022022001111221
41220220012232310320
53320034023044000
6123335331001424
711054640161353
oct1505006566470
9351868261457
10112342003000
114370a14a687
1219933139274
13a79478a4b6
14561a26729a
152dc7a1461a
hex1a281aed38

112342003000 has 128 divisors (see below), whose sum is σ = 277487308800. Its totient is φ = 42453072000.

The previous prime is 112342002991. The next prime is 112342003013. The reversal of 112342003000 is 300243211.

It is a happy number.

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, 6964945 + ... + 6981055.

It is an arithmetic number, because the mean of its divisors is an integer number (2167869600).

Almost surely, 2112342003000 is an apocalyptic number.

112342003000 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 112342003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138743654400).

112342003000 is an abundant number, since it is smaller than the sum of its proper divisors (165145305800).

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

112342003000 is a wasteful number, since it uses less digits than its factorization.

112342003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16518 (or 16504 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 112342003000 its reverse (300243211), we get a palindrome (112642246211).

The spelling of 112342003000 in words is "one hundred twelve billion, three hundred forty-two million, three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 367 380 475 500 734 760 950 1000 1468 1835 1900 2375 2936 3670 3800 4750 6973 7340 9175 9500 13946 14680 16111 18350 19000 27892 32222 34865 36700 45875 55784 64444 69730 73400 80555 91750 128888 139460 161110 174325 183500 278920 306109 322220 348650 367000 402775 612218 644440 697300 805550 871625 1224436 1394600 1530545 1611100 1743250 2013875 2448872 3061090 3222200 3486500 4027750 5912737 6122180 6973000 7652725 8055500 11825474 12244360 15305450 16111000 23650948 29563685 30610900 38263625 47301896 59127370 61221800 76527250 112342003 118254740 147818425 153054500 224684006 236509480 295636850 306109000 449368012 561710015 591273700 739092125 898736024 1123420030 1182547400 1478184250 2246840060 2808550075 2956368500 4493680120 5617100150 5912737000 11234200300 14042750375 22468400600 28085500750 56171001500 112342003000