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10011110101212 = 22311374007511549
BaseRepresentation
bin1001000110101110010010…
…1010010101000011011100
31022110001102110211212112110
42101223210222111003130
52303010223141214322
633143012425034020
72052164432553033
oct221534452250334
938401373755473
1010011110101212
11320a762732550
121158278625910
13578074b222cc
1426877c89d71a
1512562a4cec0c
hex91ae4a950dc

10011110101212 has 96 divisors (see below), whose sum is σ = 26178133363200. Its totient is φ = 2950936254720.

The previous prime is 10011110101169. The next prime is 10011110101243. The reversal of 10011110101212 is 21210101111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19314414 + ... + 19825962.

It is an arithmetic number, because the mean of its divisors is an integer number (272688889200).

Almost surely, 210011110101212 is an apocalyptic number.

10011110101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011110101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089066681600).

10011110101212 is an abundant number, since it is smaller than the sum of its proper divisors (16167023261988).

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

10011110101212 is a wasteful number, since it uses less digits than its factorization.

10011110101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515611 (or 515609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10011110101212 its reverse (21210101111001), we get a palindrome (31221211212213).

The spelling of 10011110101212 in words is "ten trillion, eleven billion, one hundred ten million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4007 4884 8014 12021 16028 24042 44077 48084 88154 132231 148259 176308 264462 296518 444777 511549 528924 593036 889554 1023098 1534647 1630849 1779108 2046196 3069294 3261698 4892547 5627039 6138588 6523396 9785094 11254078 16881117 18927313 19570188 22508156 33762234 37854626 56781939 67524468 75709252 113563878 208200443 227127756 416400886 624601329 832801772 1249202658 2049776843 2498405316 4099553686 6149330529 8199107372 12298661058 22547545273 24597322116 45095090546 67642635819 75841743191 90190181092 135285271638 151683486382 227525229573 270570543276 303366972764 455050459146 834259175101 910100918292 1668518350202 2502777525303 3337036700404 5005555050606 10011110101212