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1001000002212 = 223373142712067
BaseRepresentation
bin11101001000100000011…
…11111110001010100100
310112200202102002210122000
432210100033332022210
5112400022000032322
62043504132005300
7132214466426250
oct16442017761244
93480672083560
101001000002212
11356581450401
12142000a60830
1373517506a22
143663d195260
151b0894483ac
hexe9103fe2a4

1001000002212 has 96 divisors (see below), whose sum is σ = 3061601034240. Its totient is φ = 276774187680.

The previous prime is 1001000002199. The next prime is 1001000002279. The reversal of 1001000002212 is 2122000001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001000002194 and 1001000002203.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21332598 + ... + 21379469.

It is an arithmetic number, because the mean of its divisors is an integer number (31891677440).

Almost surely, 21001000002212 is an apocalyptic number.

1001000002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001000002212 is an abundant number, since it is smaller than the sum of its proper divisors (2060601032028).

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

1001000002212 is a wasteful number, since it uses less digits than its factorization.

1001000002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42712118 (or 42712110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001000002212 its reverse (2122000001001), we get a palindrome (3123000003213).

The spelling of 1001000002212 in words is "one trillion, one billion, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 11718 23436 42712067 85424134 128136201 170848268 256272402 298984469 384408603 512544804 597968938 768817206 896953407 1153225809 1195937876 1324074077 1537634412 1793906814 2306451618 2648148154 2690860221 3587813628 3972222231 4612903236 5296296308 5381720442 7944444462 8072580663 9268518539 10763440884 11916666693 15888888924 16145161326 18537037078 23833333386 27805555617 32290322652 35750000079 37074074156 47666666772 55611111234 71500000158 83416666851 111222222468 143000000316 166833333702 250250000553 333666667404 500500001106 1001000002212