Search a number
-
+
2321110000 = 24541121101
BaseRepresentation
bin1000101001011001…
…0101001111110000
312222202120121100001
42022112111033300
514223201010000
61022153235344
7111343052356
oct21226251760
95882517301
102321110000
11a9122a330
12549402b54
132acb56891
141803a57d6
15d8b9146a
hex8a5953f0

2321110000 has 100 divisors (see below), whose sum is σ = 6130806264. Its totient is φ = 844000000.

The previous prime is 2321109991. The next prime is 2321110003. The reversal of 2321110000 is 111232.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99450 + ... + 120550.

Almost surely, 22321110000 is an apocalyptic number.

2321110000 is a gapful number since it is divisible by the number (20) 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 2321110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065403132).

2321110000 is an abundant number, since it is smaller than the sum of its proper divisors (3809696264).

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

2321110000 is a wasteful number, since it uses less digits than its factorization.

2321110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21140 (or 21119 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2321110000 is about 48177.8994975912. The cubic root of 2321110000 is about 1324.0322825984.

Adding to 2321110000 its reverse (111232), we get a palindrome (2321221232).

The spelling of 2321110000 in words is "two billion, three hundred twenty-one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 21101 22000 27500 42202 55000 84404 105505 110000 168808 211010 232111 337616 422020 464222 527525 844040 928444 1055050 1160555 1688080 1856888 2110100 2321110 2637625 3713776 4220200 4642220 5275250 5802775 8440400 9284440 10550500 11605550 13188125 18568880 21101000 23211100 26376250 29013875 42202000 46422200 52752500 58027750 92844400 105505000 116055500 145069375 211010000 232111000 290138750 464222000 580277500 1160555000 2321110000