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103111200000 = 28325514321
BaseRepresentation
bin110000000000111101…
…0000000110100000000
3100212010222220200022100
41200001322000310000
53142132431400000
6115211342510400
710310122511304
oct1400172006400
9325128820270
10103111200000
113a802647776
1217b97895400
1399532595a3
144dc2331d04
152a37446a00
hex1801e80d00

103111200000 has 324 divisors, whose sum is σ = 371620925676. Its totient is φ = 27494400000.

The previous prime is 103111199999. The next prime is 103111200029. The reversal of 103111200000 is 2111301.

It can be written as a sum of positive squares in 6 ways, for example, as 102256690176 + 854509824 = 319776^2 + 29232^2 .

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 35 ways as a sum of consecutive naturals, for example, 7192840 + ... + 7207160.

Almost surely, 2103111200000 is an apocalyptic number.

103111200000 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 103111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185810462838).

103111200000 is an abundant number, since it is smaller than the sum of its proper divisors (268509725676).

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

103111200000 is an frugal number, since it uses more digits than its factorization.

103111200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14368 (or 14331 counting only the distinct ones).

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

Adding to 103111200000 its reverse (2111301), we get a palindrome (103113311301).

The spelling of 103111200000 in words is "one hundred three billion, one hundred eleven million, two hundred thousand".