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10022001210012 = 22311233301054417
BaseRepresentation
bin1001000111010110110111…
…0100100111001010011100
31022111002112111101112010110
42101311231310213022130
52303200024302210022
633152013243210020
72053031350502601
oct221655564471234
938432474345113
1010022001210012
113214341456810
12115a3b7b16910
135790bc31219c
142690d31066a8
15125a6671000c
hex91d6dd2729c

10022001210012 has 48 divisors (see below), whose sum is σ = 26619702826752. Its totient is φ = 2904927886080.

The previous prime is 10022001210007. The next prime is 10022001210017. The reversal of 10022001210012 is 21001210022001.

It is an interprime number because it is at equal distance from previous prime (10022001210007) and next prime (10022001210017).

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 10022001210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022001210017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1650524173 + ... + 1650530244.

It is an arithmetic number, because the mean of its divisors is an integer number (554577142224).

Almost surely, 210022001210012 is an apocalyptic number.

10022001210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022001210012 is an abundant number, since it is smaller than the sum of its proper divisors (16597701616740).

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

10022001210012 is a wasteful number, since it uses less digits than its factorization.

10022001210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301054458 (or 3301054456 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022001210012 its reverse (21001210022001), we get a palindrome (31023211232013).

It can be divided in two parts, 10022001 and 210012, that multiplied together give a palindrome (2104740474012).

The spelling of 10022001210012 in words is "ten trillion, twenty-two billion, one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 3301054417 6602108834 9903163251 13204217668 19806326502 36311598587 39612653004 72623197174 75924251591 108934795761 145246394348 151848503182 217869591522 227772754773 303697006364 435739183044 455545509546 835166767501 911091019092 1670333535002 2505500302503 3340667070004 5011000605006 10022001210012