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202132034320 = 24519313091453
BaseRepresentation
bin1011110001000000000…
…0100001001100010000
3201022201221002020202111
42330100000201030100
511302431300044240
6232505210555104
720414006641336
oct2742000411420
9638657066674
10202132034320
11787a629a137
1233211738a94
13160a3c44c48
149ad7309b56
1553d07181ea
hex2f10021310

202132034320 has 40 divisors (see below), whose sum is σ = 472392026136. Its totient is φ = 80433881088.

The previous prime is 202132034243. The next prime is 202132034381. The reversal of 202132034320 is 23430231202.

It can be written as a sum of positive squares in 4 ways, for example, as 10361611264 + 191770423056 = 101792^2 + 437916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 202132034291 and 202132034300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6530287 + ... + 6561166.

Almost surely, 2202132034320 is an apocalyptic number.

202132034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202132034320 is an abundant number, since it is smaller than the sum of its proper divisors (270259991816).

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

202132034320 is a wasteful number, since it uses less digits than its factorization.

202132034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13091659 (or 13091653 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 202132034320 its reverse (23430231202), we get a palindrome (225562265522).

The spelling of 202132034320 in words is "two hundred two billion, one hundred thirty-two million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 13091453 26182906 52365812 65457265 104731624 130914530 209463248 261829060 523658120 1047316240 2526650429 5053300858 10106601716 12633252145 20213203432 25266504290 40426406864 50533008580 101066017160 202132034320