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110311020000 = 2532543153373
BaseRepresentation
bin110011010111100001…
…1001001010111100000
3101112201202122102121100
41212233003021113200
53301404110120000
6122402015554400
710653416125206
oct1465703112740
9345652572540
10110311020000
1142867771035
1219466b2ba00
13a52ca858cc
1454a6625076
152d09581a00
hex19af0c95e0

110311020000 has 720 divisors, whose sum is σ = 413380775808. Its totient is φ = 27855360000.

The previous prime is 110311019963. The next prime is 110311020023. The reversal of 110311020000 is 20113011.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1103110200002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 295739814 + ... + 295740186.

Almost surely, 2110311020000 is an apocalyptic number.

110311020000 is a gapful number since it is divisible by the number (10) 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 110311020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206690387904).

110311020000 is an abundant number, since it is smaller than the sum of its proper divisors (303069755808).

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

110311020000 is a wasteful number, since it uses less digits than its factorization.

110311020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110311020000 its reverse (20113011), we get a palindrome (110331133011).

The spelling of 110311020000 in words is "one hundred ten billion, three hundred eleven million, twenty thousand".