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12210110100 = 2234521507421
BaseRepresentation
bin10110101111100011…
…10111111010010100
31011111221110212020000
423113301313322110
5200001242010400
65335333011300
7611402136426
oct132761677224
934457425200
1012210110100
1151a631a491
122449183b30
1311c784b826
1483b8b2816
154b6e25600
hex2d7c77e94

12210110100 has 90 divisors (see below), whose sum is σ = 39580379454. Its totient is φ = 3256027200.

The previous prime is 12210110093. The next prime is 12210110137. The reversal of 12210110100 is 101101221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 538332804 + 11671777296 = 23202^2 + 108036^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 745611 + ... + 761810.

Almost surely, 212210110100 is an apocalyptic number.

12210110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210110100 is an abundant number, since it is smaller than the sum of its proper divisors (27370269354).

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

12210110100 is a wasteful number, since it uses less digits than its factorization.

12210110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507447 (or 1507431 counting only the distinct ones).

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

Adding to 12210110100 its reverse (101101221), we get a palindrome (12311211321).

The spelling of 12210110100 in words is "twelve billion, two hundred ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 1507421 3014842 4522263 6029684 7537105 9044526 13566789 15074210 18089052 22611315 27133578 30148420 37685525 40700367 45222630 54267156 67833945 75371050 81400734 90445260 113056575 122101101 135667890 150742100 162801468 203501835 226113150 244202202 271335780 339169725 407003670 452226300 488404404 610505505 678339450 814007340 1017509175 1221011010 1356678900 2035018350 2442022020 3052527525 4070036700 6105055050 12210110100