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10212110010012 = 22323571454714251
BaseRepresentation
bin1001010010011011000100…
…1100001000011010011100
31100011021020111122012001010
42110212301030020122130
52314303400130310022
633415213434415220
72102541414601041
oct224466114103234
940137214565033
1010212110010012
113287a27964a59
12118b212b91510
13590cc8348ca1
142743a96a71c8
1512a99161850c
hex949b130869c

10212110010012 has 96 divisors (see below), whose sum is σ = 24915039012864. Its totient is φ = 3249389880000.

The previous prime is 10212110009987. The next prime is 10212110010079. The reversal of 10212110010012 is 21001001121201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10212110010012.

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, 716581887 + ... + 716596137.

It is an arithmetic number, because the mean of its divisors is an integer number (259531656384).

Almost surely, 210212110010012 is an apocalyptic number.

10212110010012 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 10212110010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457519506432).

10212110010012 is an abundant number, since it is smaller than the sum of its proper divisors (14702929002852).

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

10212110010012 is a wasteful number, since it uses less digits than its factorization.

10212110010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19399 (or 19397 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10212110010012 its reverse (21001001121201), we get a palindrome (31213111131213).

The spelling of 10212110010012 in words is "ten trillion, two hundred twelve billion, one hundred ten million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 571 1142 1713 2284 3426 4547 6852 9094 13133 13641 14251 18188 26266 27282 28502 39399 42753 52532 54564 57004 78798 85506 104581 157596 171012 209162 313743 327773 418324 627486 655546 983319 1254972 1311092 1966638 2596337 3933276 5192674 7789011 8137321 10385348 15578022 16274642 24411963 31156044 32549284 48823926 59715751 64799297 97647852 119431502 129598594 179147253 187158383 194397891 238863004 259197188 358294506 374316766 388795782 561475149 716589012 748633532 777591564 1122950298 1490383831 2245900596 2980767662 4471151493 5961535324 8942302986 17884605972 37000398587 74000797174 111001195761 148001594348 222002391522 444004783044 851009167501 1702018335002 2553027502503 3404036670004 5106055005006 10212110010012