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1002112223000 = 23537383373783
BaseRepresentation
bin11101001010100101000…
…10110000011100011000
310112210121220221110201112
432211102202300130120
5112404311212114000
62044210342435452
7132254163231410
oct16452242603430
93483556843645
101002112223000
11356aa2252339
12142271432b88
1373663a76035
1436706b95640
151b101de5235
hexe9528b0718

1002112223000 has 128 divisors (see below), whose sum is σ = 2686938808320. Its totient is φ = 342683337600.

The previous prime is 1002112222997. The next prime is 1002112223009. The reversal of 1002112223000 is 3222112001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112223009) by changing a digit.

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, 2494109 + ... + 2867891.

It is an arithmetic number, because the mean of its divisors is an integer number (20991709440).

Almost surely, 21002112223000 is an apocalyptic number.

1002112223000 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 1002112223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343469404160).

1002112223000 is an abundant number, since it is smaller than the sum of its proper divisors (1684826585320).

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

1002112223000 is a wasteful number, since it uses less digits than its factorization.

1002112223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374194 (or 374180 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1002112223000 its reverse (3222112001), we get a palindrome (1005334335001).

The spelling of 1002112223000 in words is "one trillion, two billion, one hundred twelve million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 383 500 700 766 875 1000 1400 1532 1750 1915 2681 3064 3500 3830 5362 7000 7660 9575 10724 13405 15320 19150 21448 26810 38300 47875 53620 67025 76600 95750 107240 134050 191500 268100 335125 373783 383000 536200 670250 747566 1340500 1495132 1868915 2616481 2681000 2990264 3737830 5232962 7475660 9344575 10465924 13082405 14951320 18689150 20931848 26164810 37378300 46722875 52329620 65412025 74756600 93445750 104659240 130824050 143158889 186891500 261648100 286317778 327060125 373783000 523296200 572635556 654120250 715794445 1002112223 1145271112 1308240500 1431588890 2004224446 2616481000 2863177780 3578972225 4008448892 5010561115 5726355560 7157944450 8016897784 10021122230 14315888900 17894861125 20042244460 25052805575 28631777800 35789722250 40084488920 50105611150 71579444500 100211222300 125264027875 143158889000 200422444600 250528055750 501056111500 1002112223000