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10223011103000 = 235313774620519
BaseRepresentation
bin1001010011000011101011…
…1100100000000100011000
31100012022101012222002100212
42110300322330200010120
52314443211320244000
633424215250550252
72103405513423203
oct224607274400430
940168335862325
1010223011103000
113291611288513
121191355898388
13592044923477
14274b2138c93a
1512adcd66bc35
hex94c3af20118

10223011103000 has 64 divisors (see below), whose sum is σ = 24096458318400. Its totient is φ = 4059356179200.

The previous prime is 10223011102999. The next prime is 10223011103003. The reversal of 10223011103000 is 30111032201.

It is a super-2 number, since 2×102230111030002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223011103003) 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 15 ways as a sum of consecutive naturals, for example, 37173260 + ... + 37447259.

It is an arithmetic number, because the mean of its divisors is an integer number (376507161225).

Almost surely, 210223011103000 is an apocalyptic number.

10223011103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223011103000 is an abundant number, since it is smaller than the sum of its proper divisors (13873447215400).

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

10223011103000 is a wasteful number, since it uses less digits than its factorization.

10223011103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74620677 (or 74620663 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10223011103000 its reverse (30111032201), we get a palindrome (10253122135201).

The spelling of 10223011103000 in words is "ten trillion, two hundred twenty-three billion, eleven million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 500 548 685 1000 1096 1370 2740 3425 5480 6850 13700 17125 27400 34250 68500 137000 74620519 149241038 298482076 373102595 596964152 746205190 1492410380 1865512975 2984820760 3731025950 7462051900 9327564875 10223011103 14924103800 18655129750 20446022206 37310259500 40892044412 51115055515 74620519000 81784088824 102230111030 204460222060 255575277575 408920444120 511150555150 1022301110300 1277876387875 2044602220600 2555752775750 5111505551500 10223011103000