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12201011010 = 23251761313009
BaseRepresentation
bin10110101110011110…
…01010011101000010
31011111022100120121200
423113033022131002
5144441424323020
65334410002030
7611231611446
oct132717123502
934438316550
1012201011010
1151a1175181
122446116316
1311c59b4056
1483a5c4826
154b6229590
hex2d73ca742

12201011010 has 96 divisors (see below), whose sum is σ = 33646045680. Its totient is φ = 3056984064.

The previous prime is 12201011003. The next prime is 12201011021. The reversal of 12201011010 is 1011010221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1332323001 + 10868688009 = 36501^2 + 104253^2 .

It is a super-2 number, since 2×122010110102 (a number of 21 digits) contains 22 as substring.

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 = 12201010983 and 12201011001.

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, 931386 + ... + 944394.

Almost surely, 212201011010 is an apocalyptic number.

12201011010 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 12201011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823022840).

12201011010 is an abundant number, since it is smaller than the sum of its proper divisors (21445034670).

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

12201011010 is a wasteful number, since it uses less digits than its factorization.

12201011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13652 (or 13649 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12201011010 its reverse (1011010221), we get a palindrome (13212021231).

The spelling of 12201011010 in words is "twelve billion, two hundred one million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 613 765 1226 1530 1839 3065 3678 5517 6130 9195 10421 11034 13009 18390 20842 26018 27585 31263 39027 52105 55170 62526 65045 78054 93789 104210 117081 130090 156315 187578 195135 221153 234162 312630 390270 442306 468945 585405 663459 937890 1105765 1170810 1326918 1990377 2211530 3317295 3980754 6634590 7974517 9951885 15949034 19903770 23923551 39872585 47847102 71770653 79745170 119617755 135566789 143541306 239235510 271133578 358853265 406700367 677833945 717706530 813400734 1220101101 1355667890 2033501835 2440202202 4067003670 6100505505 12201011010