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331001313012 = 223242737215141
BaseRepresentation
bin1001101000100010011…
…01110011011011110100
31011122101001100220100100
410310101031303123310
520410342314004022
6412020534514100
732625343511166
oct4642115633364
91148331326310
10331001313012
11118416680647
1254197805930
13252a07a06c6
141204055a936
1589241781ac
hex4d113736f4

331001313012 has 36 divisors (see below), whose sum is σ = 836721230436. Its totient is φ = 110330676480.

The previous prime is 331001312981. The next prime is 331001313047. The reversal of 331001313012 is 210313100133.

It is a happy number.

331001313012 is a `hidden beast` number, since 331 + 0 + 0 + 1 + 31 + 301 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260259144336 + 70742168676 = 510156^2 + 265974^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1430962 + ... + 1646102.

It is an arithmetic number, because the mean of its divisors is an integer number (23242256401).

Almost surely, 2331001313012 is an apocalyptic number.

It is an amenable number.

331001313012 is an abundant number, since it is smaller than the sum of its proper divisors (505719917424).

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

331001313012 is a wasteful number, since it uses less digits than its factorization.

331001313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257888 (or 257883 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331001313012 its reverse (210313100133), we get a palindrome (541314413145).

The spelling of 331001313012 in words is "three hundred thirty-one billion, one million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 42737 85474 128211 170948 215141 256422 384633 430282 512844 645423 769266 860564 1290846 1538532 1936269 2581692 3872538 7745076 9194480917 18388961834 27583442751 36777923668 55166885502 82750328253 110333771004 165500656506 331001313012