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102000223120 = 24541163190783
BaseRepresentation
bin101111011111110101…
…1111110001110010000
3100202021120102012112111
41132333223332032100
53132344024114440
6114505214435104
710240442406535
oct1367753761620
9322246365474
10102000223120
113a292515364
1217927802a94
139807034513
144d18976d8c
1529beb434ea
hex17bfafe390

102000223120 has 80 divisors (see below), whose sum is σ = 244426355712. Its totient is φ = 39560555520.

The previous prime is 102000223109. The next prime is 102000223121. The reversal of 102000223120 is 21322000201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 102000223120.

It is not an unprimeable number, because it can be changed into a prime (102000223121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439249 + ... + 630031.

Almost surely, 2102000223120 is an apocalyptic number.

102000223120 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 102000223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122213177856).

102000223120 is an abundant number, since it is smaller than the sum of its proper divisors (142426132592).

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

102000223120 is a wasteful number, since it uses less digits than its factorization.

102000223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191000 (or 190994 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102000223120 its reverse (21322000201), we get a palindrome (123322223321).

The spelling of 102000223120 in words is "one hundred two billion, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 163 164 205 326 328 410 652 656 815 820 1304 1630 1640 2608 3260 3280 6520 6683 13040 13366 26732 33415 53464 66830 106928 133660 190783 267320 381566 534640 763132 953915 1526264 1907830 3052528 3815660 7631320 7822103 15262640 15644206 31097629 31288412 39110515 62195258 62576824 78221030 124390516 125153648 155488145 156442060 248781032 310976290 312884120 497562064 621952580 625768240 1243905160 1275002789 2487810320 2550005578 5100011156 6375013945 10200022312 12750027890 20400044624 25500055780 51000111560 102000223120