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10003022322312 = 233418199996637
BaseRepresentation
bin1001000110010000001010…
…0101111001101010001000
31022102021112211021010121210
42101210002211321222020
52302342142203303222
633135154111533120
72051460134560515
oct221440245715210
938367484233553
1010003022322312
113207292360558
12115679bb2a1a0
13577386357216
142682126a630c
15125305445d0c
hex91902979a88

10003022322312 has 32 divisors (see below), whose sum is σ = 25007640696000. Its totient is φ = 3334329455424.

The previous prime is 10003022322287. The next prime is 10003022322313. The reversal of 10003022322312 is 21322322030001.

It is a happy number.

It is a super-2 number, since 2×100030223223122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10003022322313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9538458 + ... + 10535094.

It is an arithmetic number, because the mean of its divisors is an integer number (781488771750).

Almost surely, 210003022322312 is an apocalyptic number.

10003022322312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003022322312 is an abundant number, since it is smaller than the sum of its proper divisors (15004618373688).

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

10003022322312 is a wasteful number, since it uses less digits than its factorization.

10003022322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414845 (or 1414841 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10003022322312 its reverse (21322322030001), we get a palindrome (31325344352313).

The spelling of 10003022322312 in words is "ten trillion, three billion, twenty-two million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 418199 836398 996637 1254597 1672796 1993274 2509194 2989911 3345592 3986548 5018388 5979822 7973096 10036776 11959644 23919288 416792596763 833585193526 1250377790289 1667170387052 2500755580578 3334340774104 5001511161156 10003022322312