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1001003211312 = 243131604171813
BaseRepresentation
bin11101001000100000111…
…00001101101000110000
310112200202122010211200120
432210100130031220300
5112400023310230222
62043504324450240
7132214535623236
oct16442034155060
93480678124616
101001003211312
11356583242455
12142001b49980
137351808b5c0
143663d78c956
151b08987e15c
hexe91070da30

1001003211312 has 40 divisors (see below), whose sum is σ = 2784842269104. Its totient is φ = 308000987904.

The previous prime is 1001003211287. The next prime is 1001003211347. The reversal of 1001003211312 is 2131123001001.

It is a happy number.

It is a super-2 number, since 2×10010032113122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001003211291 and 1001003211300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802085283 + ... + 802086530.

Almost surely, 21001003211312 is an apocalyptic number.

1001003211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001003211312 is an abundant number, since it is smaller than the sum of its proper divisors (1783839057792).

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

1001003211312 is a wasteful number, since it uses less digits than its factorization.

1001003211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604171837 (or 1604171831 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001003211312 its reverse (2131123001001), we get a palindrome (3132126212313).

The spelling of 1001003211312 in words is "one trillion, one billion, three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1604171813 3208343626 4812515439 6416687252 9625030878 12833374504 19250061756 20854233569 25666749008 38500123512 41708467138 62562700707 77000247024 83416934276 125125401414 166833868552 250250802828 333667737104 500501605656 1001003211312