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10012222313310 = 235767711600733
BaseRepresentation
bin1001000110110010011011…
…1101000101001101011110
31022110011021222200002201010
42101230212331011031132
52303020012403011220
633143315035400050
72052234126320640
oct221544675051536
938404258602633
1010012222313310
1132101835289a8
121158528bb3026
135781c138a689
1426884649a890
15125692e791e0
hex91b26f4535e

10012222313310 has 64 divisors (see below), whose sum is σ = 27871977549312. Its totient is φ = 2254351118976.

The previous prime is 10012222313267. The next prime is 10012222313339. The reversal of 10012222313310 is 1331322221001.

It is a super-2 number, since 2×100122223133102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

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, 355786297 + ... + 355814436.

It is an arithmetic number, because the mean of its divisors is an integer number (435499649208).

Almost surely, 210012222313310 is an apocalyptic number.

10012222313310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10012222313310 is an abundant number, since it is smaller than the sum of its proper divisors (17859755236002).

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

10012222313310 is a wasteful number, since it uses less digits than its factorization.

10012222313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711600817.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10012222313310 its reverse (1331322221001), we get a palindrome (11343544534311).

The spelling of 10012222313310 in words is "ten trillion, twelve billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1407 2010 2345 2814 4690 7035 14070 711600733 1423201466 2134802199 3558003665 4269604398 4981205131 7116007330 9962410262 10674010995 14943615393 21348021990 24906025655 29887230786 47677249111 49812051310 74718076965 95354498222 143031747333 149436153930 238386245555 286063494666 333740743777 476772491110 667481487554 715158736665 1001222231331 1430317473330 1668703718885 2002444462662 3337407437770 5006111156655 10012222313310