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311320020000 = 2535411471697
BaseRepresentation
bin1001000011111000001…
…11101000010000100000
31002202120102112121220010
410201330013220100200
520100040411120000
6355003552244520
731330541336163
oct4417407502040
91082512477803
10311320020000
11110037042930
1250404540740
13234851435b2
14110d4717ada
1581713b3d50
hex487c1e8420

311320020000 has 240 divisors, whose sum is σ = 1114029921312. Its totient is φ = 75471360000.

The previous prime is 311320019981. The next prime is 311320020029. The reversal of 311320020000 is 20023113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424152 + ... + 895848.

Almost surely, 2311320020000 is an apocalyptic number.

311320020000 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 311320020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557014960656).

311320020000 is an abundant number, since it is smaller than the sum of its proper divisors (802709901312).

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

311320020000 is a wasteful number, since it uses less digits than its factorization.

311320020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471741 (or 471718 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 311320020000 its reverse (20023113), we get a palindrome (311340043113).

The spelling of 311320020000 in words is "three hundred eleven billion, three hundred twenty million, twenty thousand".