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10212131013320 = 23510719112492209
BaseRepresentation
bin1001010010011011001001…
…1100010000001011001000
31100011021021222011021011102
42110212302130100023020
52314303421014411240
633415215504520532
72102542061246135
oct224466234201310
940137258137142
1010212131013320
113287a38800065
12118b21a020148
13590ccc7c0c92
142743ac3b358c
1512a9933b6815
hex949b27102c8

10212131013320 has 64 divisors (see below), whose sum is σ = 23313461990400. Its totient is φ = 4025489105920.

The previous prime is 10212131013229. The next prime is 10212131013341. The reversal of 10212131013320 is 2331013121201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10212131013292 and 10212131013301.

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 15 ways as a sum of consecutive naturals, for example, 5428625 + ... + 7063584.

It is an arithmetic number, because the mean of its divisors is an integer number (364272843600).

Almost surely, 210212131013320 is an apocalyptic number.

10212131013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212131013320 is an abundant number, since it is smaller than the sum of its proper divisors (13101330977080).

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

10212131013320 is a wasteful number, since it uses less digits than its factorization.

10212131013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492518 (or 12492514 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10212131013320 its reverse (2331013121201), we get a palindrome (12543144134521).

The spelling of 10212131013320 in words is "ten trillion, two hundred twelve billion, one hundred thirty-one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 107 191 214 382 428 535 764 856 955 1070 1528 1910 2140 3820 4280 7640 20437 40874 81748 102185 163496 204370 408740 817480 12492209 24984418 49968836 62461045 99937672 124922090 249844180 499688360 1336666363 2386011919 2673332726 4772023838 5346665452 6683331815 9544047676 10693330904 11930059595 13366663630 19088095352 23860119190 26733327260 47720238380 53466654520 95440476760 255303275333 510606550666 1021213101332 1276516376665 2042426202664 2553032753330 5106065506660 10212131013320