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331020000000 = 283357613
BaseRepresentation
bin1001101000100100101…
…01000101101100000000
31011122102100112022002000
410310102111011230000
520410412110000000
6412022443224000
732625661401204
oct4642225055400
91148370468060
10331020000000
11118426184438
12541a1b18000
13252a46142b1
1412042c22b04
158925b1a000
hex4d12545b00

331020000000 has 576 divisors, whose sum is σ = 1225598424960. Its totient is φ = 88128000000.

The previous prime is 331019999969. The next prime is 331020000061. The reversal of 331020000000 is 20133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539999694 + ... + 540000306.

Almost surely, 2331020000000 is an apocalyptic number.

331020000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612799212480).

331020000000 is an abundant number, since it is smaller than the sum of its proper divisors (894578424960).

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

331020000000 is an frugal number, since it uses more digits than its factorization.

331020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 331020000000 its reverse (20133), we get a palindrome (331020020133).

The spelling of 331020000000 in words is "three hundred thirty-one billion, twenty million", and thus it is an aban number.