Search a number
-
+
12201020100 = 22325237366397
BaseRepresentation
bin10110101110011110…
…01100101011000100
31011111022101001002100
423113033030223010
5144441430120400
65334410112100
7611231650113
oct132717145304
934438331070
1012201020100
1151a1180a95
12244611b630
1311c59b8229
1483a5c7c7a
154b622c100
hex2d73ccac4

12201020100 has 108 divisors (see below), whose sum is σ = 39277132804. Its totient is φ = 3165661440.

The previous prime is 12201020093. The next prime is 12201020149. The reversal of 12201020100 is 102010221.

It can be written as a sum of positive squares in 6 ways, for example, as 259338816 + 11941681284 = 16104^2 + 109278^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149899 + ... + 216498.

Almost surely, 212201020100 is an apocalyptic number.

12201020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201020100 is an abundant number, since it is smaller than the sum of its proper divisors (27076112704).

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

12201020100 is a wasteful number, since it uses less digits than its factorization.

12201020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366454 (or 366444 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12201020100 its reverse (102010221), we get a palindrome (12303030321).

The spelling of 12201020100 in words is "twelve billion, two hundred one million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 366397 732794 1099191 1465588 1831985 2198382 3297573 3663970 4396764 5495955 6595146 7327940 9159925 10991910 13190292 13556689 16487865 18319850 21983820 27113378 27479775 32975730 36639700 40670067 54226756 54959550 65951460 67783445 81340134 82439325 109919100 122010201 135566890 162680268 164878650 203350335 244020402 271133780 329757300 338917225 406700670 488040804 610051005 677834450 813401340 1016751675 1220102010 1355668900 2033503350 2440204020 3050255025 4067006700 6100510050 12201020100