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2145721340200 = 235258971819333
BaseRepresentation
bin11111001110010110111…
…101010101000100101000
321121010111000020221000011
4133032112331111010220
5240123414130341300
64321421503021304
7311010655313344
oct37162675250450
97533430227004
102145721340200
11757aa4837559
122a7a3189a834
13127457556769
1475bd3cb0624
153ac36140eba
hex1f396f55128

2145721340200 has 48 divisors (see below), whose sum is σ = 4989650848380. Its totient is φ = 858142517760.

The previous prime is 2145721340167. The next prime is 2145721340207. The reversal of 2145721340200 is 20431275412.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1053566756356 + 1092154583844 = 1026434^2 + 1045062^2 .

It is not an unprimeable number, because it can be changed into a prime (2145721340207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269734 + ... + 2089066.

Almost surely, 22145721340200 is an apocalyptic number.

2145721340200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145721340200 is an abundant number, since it is smaller than the sum of its proper divisors (2843929508180).

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

2145721340200 is a wasteful number, since it uses less digits than its factorization.

2145721340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825246 (or 1825237 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 2145721340200 in words is "two trillion, one hundred forty-five billion, seven hundred twenty-one million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5897 11794 23588 29485 47176 58970 117940 147425 235880 294850 589700 1179400 1819333 3638666 7277332 9096665 14554664 18193330 36386660 45483325 72773320 90966650 181933300 363866600 10728606701 21457213402 42914426804 53643033505 85828853608 107286067010 214572134020 268215167525 429144268040 536430335050 1072860670100 2145721340200