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10212300210020 = 2258925136076337
BaseRepresentation
bin1001010010011011110010…
…0001101011111101100100
31100011021201202112100101212
42110212330201223331210
52314304242323210040
633415244351210552
72102546214351026
oct224467441537544
940137652470355
1010212300210020
113288015264047
12118b266816a58
1359102888177c
142743c6a58016
1512a9a3188d65
hex949bc86bf64

10212300210020 has 96 divisors (see below), whose sum is σ = 21782669610240. Its totient is φ = 4021180416000.

The previous prime is 10212300210011. The next prime is 10212300210037. The reversal of 10212300210020 is 2001200321201.

It is a happy number.

It is a super-2 number, since 2×102123002100202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10212300209977 and 10212300210004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611532292 + ... + 1611538628.

It is an arithmetic number, because the mean of its divisors is an integer number (226902808440).

Almost surely, 210212300210020 is an apocalyptic number.

10212300210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212300210020 is an abundant number, since it is smaller than the sum of its proper divisors (11570369400220).

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

10212300210020 is a wasteful number, since it uses less digits than its factorization.

10212300210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10293 (or 10291 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10212300210020 its reverse (2001200321201), we get a palindrome (12213500531221).

The spelling of 10212300210020 in words is "ten trillion, two hundred twelve billion, three hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 251 356 445 502 890 1004 1255 1780 2510 3607 5020 6337 7214 12674 14428 18035 22339 25348 31685 36070 44678 63370 72140 89356 111695 126740 223390 321023 446780 563993 642046 905357 1127986 1284092 1590587 1605115 1810714 2255972 2819965 3181174 3210230 3621428 4526785 5639930 6362348 6420460 7952935 9053570 11279860 15905870 18107140 22857559 31811740 45715118 80576773 91430236 114287795 141562243 161153546 228575590 283124486 322307092 402883865 457151180 566248972 707811215 805767730 1415622430 1611535460 2034322751 2831244860 4068645502 5737247309 8137291004 10171613755 11474494618 20343227510 22948989236 28686236545 40686455020 57372473090 114744946180 510615010501 1021230021002 2042460042004 2553075052505 5106150105010 10212300210020