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10263227130 = 23251382710607
BaseRepresentation
bin10011000111011110…
…00110101011111010
3222111021001221212100
421203233012223322
5132004341232010
64414224324230
7512221663662
oct114357065372
928437057770
1010263227130
1143973624a2
121ba5173676
13c773b1580
146d50c31a2
154010562c0
hex263bc6afa

10263227130 has 96 divisors (see below), whose sum is σ = 28774497024. Its totient is φ = 2523040128.

The previous prime is 10263227113. The next prime is 10263227167. The reversal of 10263227130 is 3172236201.

10263227130 is a `hidden beast` number, since 1 + 0 + 2 + 632 + 27 + 1 + 3 + 0 = 666.

It is a super-2 number, since 2×102632271302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10263227094 and 10263227103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962287 + ... + 972893.

It is an arithmetic number, because the mean of its divisors is an integer number (299734344).

Almost surely, 210263227130 is an apocalyptic number.

10263227130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10263227130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387248512).

10263227130 is an abundant number, since it is smaller than the sum of its proper divisors (18511269894).

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

10263227130 is a wasteful number, since it uses less digits than its factorization.

10263227130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11460 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10263227130 in words is "ten billion, two hundred sixty-three million, two hundred twenty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 827 1170 1654 2481 4135 4962 7443 8270 10607 10751 12405 14886 21214 21502 24810 31821 32253 37215 53035 53755 63642 64506 74430 95463 96759 106070 107510 137891 159105 161265 190926 193518 275782 318210 322530 413673 477315 483795 689455 827346 954630 967590 1241019 1378910 2068365 2482038 4136730 6205095 8771989 12410190 17543978 26315967 43859945 52631934 78947901 87719890 114035857 131579835 157895802 228071714 263159670 342107571 394739505 570179285 684215142 789479010 1026322713 1140358570 1710537855 2052645426 3421075710 5131613565 10263227130