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1230200010 = 2325132292789
BaseRepresentation
bin100100101010011…
…0101110011001010
310011201211122011100
41021110311303022
510004412400020
6322023242230
742325345644
oct11124656312
93151748140
101230200010
11581463526
122a3ba9376
13167b39500
14b9551894
1573003a90
hex49535cca

1230200010 has 144 divisors (see below), whose sum is σ = 3584201400. Its totient is φ = 292271616.

The previous prime is 1230199963. The next prime is 1230200017. The reversal of 1230200010 is 100020321.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 84681 + 1230115329 = 291^2 + 35073^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1230199965 and 1230200001.

It is not an unprimeable number, because it can be changed into a prime (1230200017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 439696 + ... + 442484.

Almost surely, 21230200010 is an apocalyptic number.

1230200010 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 1230200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792100700).

1230200010 is an abundant number, since it is smaller than the sum of its proper divisors (2354001390).

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

1230200010 is a wasteful number, since it uses less digits than its factorization.

1230200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1230200010 is about 35074.2071898995. The cubic root of 1230200010 is about 1071.4993421444.

Adding to 1230200010 its reverse (100020321), we get a palindrome (1330220331).

The spelling of 1230200010 in words is "one billion, two hundred thirty million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 169 174 195 234 261 290 338 377 390 435 507 522 585 754 845 870 1014 1131 1170 1305 1521 1690 1885 2262 2535 2610 2789 3042 3393 3770 4901 5070 5578 5655 6786 7605 8367 9802 11310 13945 14703 15210 16734 16965 24505 25101 27890 29406 33930 36257 41835 44109 49010 50202 72514 73515 80881 83670 88218 108771 125505 147030 161762 181285 217542 220545 242643 251010 326313 362570 404405 441090 471341 485286 543855 652626 727929 808810 942682 1051453 1087710 1213215 1414023 1455858 1631565 2102906 2356705 2426430 2828046 3154359 3263130 3639645 4242069 4713410 5257265 6308718 7070115 7279290 8484138 9463077 10514530 13668889 14140230 15771795 18926154 21210345 27337778 31543590 41006667 42420690 47315385 68344445 82013334 94630770 123020001 136688890 205033335 246040002 410066670 615100005 1230200010