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10201202202012 = 2234013751728181
BaseRepresentation
bin1001010001110010011100…
…0010001001010110011100
31100010020002022200010110020
42110130213002021112130
52314114030230431022
633410211222312140
72102004205010403
oct224344702112634
940106068603406
1010201202202012
11328333a7753a8
121189089b88650
1358cc7a560223
14273a52b5463a
1512a553bda35c
hex9472708959c

10201202202012 has 48 divisors (see below), whose sum is σ = 23812748844192. Its totient is φ = 3398980522240.

The previous prime is 10201202202011. The next prime is 10201202202013. The reversal of 10201202202012 is 21020220210201.

It is an interprime number because it is at equal distance from previous prime (10201202202011) and next prime (10201202202013).

It is a junction number, because it is equal to n+sod(n) for n = 10201202201982 and 10201202202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201202202011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361974562 + ... + 362002742.

It is an arithmetic number, because the mean of its divisors is an integer number (496098934254).

Almost surely, 210201202202012 is an apocalyptic number.

10201202202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201202202012 is an abundant number, since it is smaller than the sum of its proper divisors (13611546642180).

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

10201202202012 is a wasteful number, since it uses less digits than its factorization.

10201202202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39718 (or 39716 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10201202202012 its reverse (21020220210201), we get a palindrome (31221422412213).

The spelling of 10201202202012 in words is "ten trillion, two hundred one billion, two hundred two million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 4013 7517 8026 12039 15034 16052 22551 24078 28181 30068 45102 48156 56362 84543 90204 112724 169086 338172 30165721 60331442 90497163 113090353 120662884 180994326 211836577 226180706 339271059 361988652 423673154 452361412 635509731 678542118 847346308 1271019462 1357084236 2542038924 850100183501 1700200367002 2550300550503 3400400734004 5100601101006 10201202202012