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10212110111320 = 23513211119378017
BaseRepresentation
bin1001010010011011000100…
…1100100001001001011000
31100011021020111211100000021
42110212301030201021120
52314303400142030240
633415213440520224
72102541415502305
oct224466114411130
940137214740007
1010212110111320
113287a27a24087
12118b213020074
13590cc8383130
142743a96d20ac
1512a99163854a
hex949b1321258

10212110111320 has 128 divisors (see below), whose sum is σ = 24883160783040. Its totient is φ = 3749561303040.

The previous prime is 10212110111263. The next prime is 10212110111353. The reversal of 10212110111320 is 2311101121201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10212110111294 and 10212110111303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130856952 + ... + 130934968.

Almost surely, 210212110111320 is an apocalyptic number.

10212110111320 is a gapful number since it is divisible by the number (10) 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 10212110111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441580391520).

10212110111320 is an abundant number, since it is smaller than the sum of its proper divisors (14671050671720).

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

10212110111320 is a wasteful number, since it uses less digits than its factorization.

10212110111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79445 (or 79441 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10212110111320 its reverse (2311101121201), we get a palindrome (12523211232521).

The spelling of 10212110111320 in words is "ten trillion, two hundred twelve billion, one hundred ten million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 211 260 422 520 844 1055 1193 1688 2110 2386 2743 4220 4772 5486 5965 8440 9544 10972 11930 13715 15509 21944 23860 27430 31018 47720 54860 62036 77545 78017 109720 124072 155090 156034 251723 310180 312068 390085 503446 620360 624136 780170 1006892 1014221 1258615 1560340 2013784 2028442 2517230 3120680 3272399 4056884 5034460 5071105 6544798 8113768 10068920 10142210 13089596 16361995 16461587 20284420 26179192 32723990 32923174 40568840 65447980 65846348 82307935 93074281 130895960 131692696 164615870 186148562 214000631 329231740 372297124 428001262 465371405 658463480 744594248 856002524 930742810 1070003155 1209965653 1712005048 1861485620 2140006310 2419931306 3722971240 4280012620 4839862612 6049828265 8560025240 9679725224 12099656530 19638673291 24199313060 39277346582 48398626120 78554693164 98193366455 157109386328 196386732910 255302752783 392773465820 510605505566 785546931640 1021211011132 1276513763915 2042422022264 2553027527830 5106055055660 10212110111320