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10211330230101 = 32711133357733757
BaseRepresentation
bin1001010010011000001010…
…1101100000011101010101
31100011012020011100021002200
42110212002231200131111
52314300301014330401
633415004221155113
72102513165561160
oct224460255403525
940135204307080
1010211330230101
113287667784850
12118b0359bba99
13590c02925760
14274333cc2ad7
1512a947e37686
hex94982b60755

10211330230101 has 96 divisors (see below), whose sum is σ = 19804968438528. Its totient is φ = 4896251089920.

The previous prime is 10211330230099. The next prime is 10211330230111. The reversal of 10211330230101 is 10103203311201.

10211330230101 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 330 + 230 + 101 = 666.

It is not a de Polignac number, because 10211330230101 - 21 = 10211330230099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211330230111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302478315 + ... + 302512071.

It is an arithmetic number, because the mean of its divisors is an integer number (206301754568).

Almost surely, 210211330230101 is an apocalyptic number.

10211330230101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211330230101 is a deficient number, since it is larger than the sum of its proper divisors (9593638208427).

10211330230101 is a wasteful number, since it uses less digits than its factorization.

10211330230101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67371 (or 67368 counting only the distinct ones).

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

Adding to 10211330230101 its reverse (10103203311201), we get a palindrome (20314533541302).

The spelling of 10211330230101 in words is "ten trillion, two hundred eleven billion, three hundred thirty million, two hundred thirty thousand, one hundred one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 33577 33757 100731 101271 235039 236299 302193 303813 369347 371327 436501 438841 705117 708897 1108041 1113981 1309503 1316523 2115351 2126691 2585429 2599289 3055507 3071887 3324123 3341943 3928509 3949569 4801511 4827251 7756287 7797867 9166521 9215661 14404533 14481753 23268861 23393601 27499563 27646983 33610577 33790757 43213599 43445259 100831731 101372271 302495193 304116813 1133458789 3400376367 7934211523 10201129101 12468046679 14734964257 23802634569 37404140037 44204892771 71407903707 87276326753 103144749799 112212420111 132614678313 162084606827 261828980259 309434249397 486253820481 785486940777 928302748191 1134592247789 1458761461443 3403776743367 10211330230101