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1131213000300 = 22352591793071163
BaseRepresentation
bin10000011101100001100…
…011001000111001101100
311000010212011211110200220
4100131201203020321230
5122013211012002200
62223401100251340
7144504340565265
oct20354143107154
94003764743626
101131213000300
113a6821280109
121632a0b40b50
1382899566c16
143ca72a6796c
151e65ad324a0
hex107618c8e6c

1131213000300 has 288 divisors, whose sum is σ = 3360834892800. Its totient is φ = 293674026240.

The previous prime is 1131213000293. The next prime is 1131213000301. The reversal of 1131213000300 is 30003121311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131213000300.

It is not an unprimeable number, because it can be changed into a prime (1131213000301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972667519 + ... + 972668681.

It is an arithmetic number, because the mean of its divisors is an integer number (11669565600).

Almost surely, 21131213000300 is an apocalyptic number.

1131213000300 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 1131213000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680417446400).

1131213000300 is an abundant number, since it is smaller than the sum of its proper divisors (2229621892500).

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

1131213000300 is a wasteful number, since it uses less digits than its factorization.

1131213000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1131213000300 its reverse (30003121311), we get a palindrome (1161216121611).

The spelling of 1131213000300 in words is "one trillion, one hundred thirty-one billion, two hundred thirteen million, three hundred", and thus it is an aban number.