Search a number
-
+
2313123300 = 2232522570137
BaseRepresentation
bin1000100111011111…
…0111010111100100
312222012112211122100
42021313313113210
514214124421200
61021310132100
7111215136465
oct21167672744
95865484570
102313123300
11a87774854
125467b1030
132ab2bb517
1417d2c6d6c
15d8114d00
hex89df75e4

2313123300 has 54 divisors (see below), whose sum is σ = 7250359298. Its totient is φ = 616832640.

The previous prime is 2313123299. The next prime is 2313123313. The reversal of 2313123300 is 33213132.

2313123300 is a `hidden beast` number, since 23 + 1 + 312 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5089536 + 2308033764 = 2256^2 + 48042^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1284169 + ... + 1285968.

Almost surely, 22313123300 is an apocalyptic number.

2313123300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313123300 is an abundant number, since it is smaller than the sum of its proper divisors (4937235998).

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

2313123300 is a wasteful number, since it uses less digits than its factorization.

2313123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570157 (or 2570147 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2313123300 is about 48094.9404823418. The cubic root of 2313123300 is about 1322.5119179699.

Adding to 2313123300 its reverse (33213132), we get a palindrome (2346336432).

The spelling of 2313123300 in words is "two billion, three hundred thirteen million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2570137 5140274 7710411 10280548 12850685 15420822 23131233 25701370 30841644 38552055 46262466 51402740 64253425 77104110 92524932 115656165 128506850 154208220 192760275 231312330 257013700 385520550 462624660 578280825 771041100 1156561650 2313123300