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10012211310330 = 23251722928576109
BaseRepresentation
bin1001000110110010011001…
…0011000110111011111010
31022110011021012222002110100
42101230212103012323322
52303020002043412310
633143314003500230
72052233633643165
oct221544623067372
938404235862410
1010012211310330
1132101782a3229
121158525387676
135781bc007438
14268844c34adc
15125692003ec0
hex91b264c6efa

10012211310330 has 96 divisors (see below), whose sum is σ = 27683392323600. Its totient is φ = 2501895407616.

The previous prime is 10012211310229. The next prime is 10012211310397. The reversal of 10012211310330 is 3301311221001.

10012211310330 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 21 + 1 + 310 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9042295575681 + 969915734649 = 3007041^2 + 984843^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13937685 + ... + 14638424.

Almost surely, 210012211310330 is an apocalyptic number.

10012211310330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10012211310330 is an abundant number, since it is smaller than the sum of its proper divisors (17671181013270).

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

10012211310330 is a wasteful number, since it uses less digits than its factorization.

10012211310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28576368 (or 28576365 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10012211310330 its reverse (3301311221001), we get a palindrome (13313522531331).

The spelling of 10012211310330 in words is "ten trillion, twelve billion, two hundred eleven million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 229 255 306 458 510 687 765 1145 1374 1530 2061 2290 3435 3893 4122 6870 7786 10305 11679 19465 20610 23358 35037 38930 58395 70074 116790 175185 350370 28576109 57152218 85728327 142880545 171456654 257184981 285761090 428641635 485793853 514369962 857283270 971587706 1285924905 1457381559 2428969265 2571849810 2914763118 4372144677 4857938530 6543928961 7286907795 8744289354 13087857922 14573815590 19631786883 21860723385 32719644805 39263573766 43721446770 58895360649 65439289610 98158934415 111246792337 117790721298 196317868830 222493584674 294476803245 333740377011 556233961685 588953606490 667480754022 1001221131033 1112467923370 1668701885055 2002442262066 3337403770110 5006105655165 10012211310330