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2330300100 = 2235210971263
BaseRepresentation
bin1000101011100101…
…1000111011000100
320000101212111210010
42022321120323010
514233024100400
61023122230220
7111514136562
oct21271307304
96011774703
102330300100
11a96436a57
125504b5370
132b1a238cb
141816b8a32
15d98a9450
hex8ae58ec4

2330300100 has 72 divisors (see below), whose sum is σ = 6804286720. Its totient is φ = 615703680.

The previous prime is 2330300059. The next prime is 2330300113. The reversal of 2330300100 is 10030332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932 + ... + 68331.

Almost surely, 22330300100 is an apocalyptic number.

2330300100 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 2330300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402143360).

2330300100 is an abundant number, since it is smaller than the sum of its proper divisors (4473986620).

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

2330300100 is a wasteful number, since it uses less digits than its factorization.

2330300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71389 (or 71382 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2330300100 is about 48273.1819958038. The cubic root of 2330300100 is about 1325.7774196491. Note that the first 3 decimals are identical.

Adding to 2330300100 its reverse (10030332), we get a palindrome (2340330432).

The spelling of 2330300100 in words is "two billion, three hundred thirty million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 654 1090 1308 1635 2180 2725 3270 5450 6540 8175 10900 16350 32700 71263 142526 213789 285052 356315 427578 712630 855156 1068945 1425260 1781575 2137890 3563150 4275780 5344725 7126300 7767667 10689450 15535334 21378900 23303001 31070668 38838335 46606002 77676670 93212004 116515005 155353340 194191675 233030010 388383350 466060020 582575025 776766700 1165150050 2330300100