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2146133100 = 2235231230767
BaseRepresentation
bin111111111101011…
…0110010001101100
312112120022212011010
41333322312101230
513343402224400
6552543025220
7104116554546
oct17772662154
95476285133
102146133100
11a01488621
124ba89b210
13282821157
14165058696
15c862b450
hex7feb646c

2146133100 has 72 divisors (see below), whose sum is σ = 6409811968. Its totient is φ = 553838400.

The previous prime is 2146133071. The next prime is 2146133107. The reversal of 2146133100 is 13316412.

It is a super-2 number, since 2×21461331002 = 9211774565831220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2146133107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106084 + ... + 124683.

Almost surely, 22146133100 is an apocalyptic number.

2146133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146133100 is an abundant number, since it is smaller than the sum of its proper divisors (4263678868).

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

2146133100 is a wasteful number, since it uses less digits than its factorization.

2146133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230815 (or 230808 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2146133100 is about 46326.3758565248. The cubic root of 2146133100 is about 1289.8886389056. Note that the first 3 decimals are identical.

Adding to 2146133100 its reverse (13316412), we get a palindrome (2159449512).

The spelling of 2146133100 in words is "two billion, one hundred forty-six million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 230767 461534 692301 923068 1153835 1384602 2307670 2769204 3461505 4615340 5769175 6923010 7153777 11538350 13846020 14307554 17307525 21461331 23076700 28615108 34615050 35768885 42922662 69230100 71537770 85845324 107306655 143075540 178844425 214613310 357688850 429226620 536533275 715377700 1073066550 2146133100