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1231316000 = 2553541569
BaseRepresentation
bin100100101100100…
…0110010000100000
310011210221100000022
41021121012100200
510010204103000
6322103213012
742341004365
oct11131062040
93153840008
101231316000
11582055a32
122a4447168
1316813a465
14b976246c
1573174585
hex49646420

1231316000 has 96 divisors (see below), whose sum is σ = 3036262320. Its totient is φ = 490752000.

The previous prime is 1231315999. The next prime is 1231316003. The reversal of 1231316000 is 6131321.

It can be written as a sum of positive squares in 8 ways, for example, as 3794704 + 1227521296 = 1948^2 + 35036^2 .

It is a super-2 number, since 2×12313160002 = 3032278183712000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1231316000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231316003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2163716 + ... + 2164284.

Almost surely, 21231316000 is an apocalyptic number.

1231316000 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 1231316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518131160).

1231316000 is an abundant number, since it is smaller than the sum of its proper divisors (1804946320).

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

1231316000 is an equidigital number, since it uses as much as digits as its factorization.

1231316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1231316000 is about 35090.1125675025. The cubic root of 1231316000 is about 1071.8232518430.

Adding to 1231316000 its reverse (6131321), we get a palindrome (1237447321).

The spelling of 1231316000 in words is "one billion, two hundred thirty-one million, three hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 541 569 800 1000 1082 1138 2000 2164 2276 2705 2845 4000 4328 4552 5410 5690 8656 9104 10820 11380 13525 14225 17312 18208 21640 22760 27050 28450 43280 45520 54100 56900 67625 71125 86560 91040 108200 113800 135250 142250 216400 227600 270500 284500 307829 432800 455200 541000 569000 615658 1082000 1138000 1231316 1539145 2164000 2276000 2462632 3078290 4925264 6156580 7695725 9850528 12313160 15391450 24626320 30782900 38478625 49252640 61565800 76957250 123131600 153914500 246263200 307829000 615658000 1231316000