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2320010100 = 223452286421
BaseRepresentation
bin1000101001001000…
…1000101101110100
312222200111201120000
42022102020231310
514222410310400
61022113511300
7111330521562
oct21222105564
95880451500
102320010100
11a90648a21
12548b72530
132ac860055
1418019aa32
15d8a25600
hex8a488b74

2320010100 has 90 divisors (see below), whose sum is σ = 7520582454. Its totient is φ = 618667200.

The previous prime is 2320010087. The next prime is 2320010101. The reversal of 2320010100 is 10100232.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 777405924 + 1542604176 = 27882^2 + 39276^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 135111 + ... + 151310.

Almost surely, 22320010100 is an apocalyptic number.

2320010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320010100 is an abundant number, since it is smaller than the sum of its proper divisors (5200572354).

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

2320010100 is a wasteful number, since it uses less digits than its factorization.

2320010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286447 (or 286431 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2320010100 is about 48166.4831599734. The cubic root of 2320010100 is about 1323.8231106648.

Adding to 2320010100 its reverse (10100232), we get a palindrome (2330110332).

The spelling of 2320010100 in words is "two billion, three hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 286421 572842 859263 1145684 1432105 1718526 2577789 2864210 3437052 4296315 5155578 5728420 7160525 7733367 8592630 10311156 12888945 14321050 15466734 17185260 21481575 23200101 25777890 28642100 30933468 38666835 42963150 46400202 51555780 64444725 77333670 85926300 92800404 116000505 128889450 154667340 193334175 232001010 257778900 386668350 464002020 580002525 773336700 1160005050 2320010100