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1001011320312 = 233311345445323
BaseRepresentation
bin11101001000100001110…
…11001001010111111000
310112200210012101211010220
432210100323021113320
5112400032344222222
62043505214340040
7132214664555523
oct16442073112770
93480705354126
101001011320312
11356587880903
121420047ba620
137351996a523
143664089dbba
151b08a431b5c
hexe910ec95f8

1001011320312 has 32 divisors (see below), whose sum is σ = 2583255022080. Its totient is φ = 322906877280.

The previous prime is 1001011320307. The next prime is 1001011320367. The reversal of 1001011320312 is 2130231101001.

It is a happy number.

1001011320312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001011320291 and 1001011320300.

It is a congruent number.

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, 672721918 + ... + 672723405.

It is an arithmetic number, because the mean of its divisors is an integer number (80726719440).

Almost surely, 21001011320312 is an apocalyptic number.

1001011320312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001011320312 is an abundant number, since it is smaller than the sum of its proper divisors (1582243701768).

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

1001011320312 is a wasteful number, since it uses less digits than its factorization.

1001011320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345445363 (or 1345445359 counting only the distinct ones).

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

Adding to 1001011320312 its reverse (2130231101001), we get a palindrome (3131242421313).

The spelling of 1001011320312 in words is "one trillion, one billion, eleven million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1345445323 2690890646 4036335969 5381781292 8072671938 10763562584 16145343876 32290687752 41708805013 83417610026 125126415039 166835220052 250252830078 333670440104 500505660156 1001011320312