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202132132002 = 23211229562889
BaseRepresentation
bin1011110001000000000…
…0111001000010100010
3201022201221021012202100
42330100000321002202
511302431311211002
6232505213031230
720414010526203
oct2742000710242
9638657235670
10202132132002
11787a6356569
1233211785516
13160a3c7a548
149ad73335aa
1553d073711c
hex2f100390a2

202132132002 has 12 divisors (see below), whose sum is σ = 437952952710. Its totient is φ = 67377377328.

The previous prime is 202132131917. The next prime is 202132132003. The reversal of 202132132002 is 200231231202.

202132132002 is a `hidden beast` number, since 2 + 0 + 21 + 321 + 320 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148247330841 + 53884801161 = 385029^2 + 232131^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11229562889 = 202132132002 / (2 + 0 + 2 + 1 + 3 + 2 + 1 + 3 + 2 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (202132132003) 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 5 ways as a sum of consecutive naturals, for example, 5614781427 + ... + 5614781462.

Almost surely, 2202132132002 is an apocalyptic number.

202132132002 is an abundant number, since it is smaller than the sum of its proper divisors (235820820708).

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

202132132002 is a wasteful number, since it uses less digits than its factorization.

202132132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229562897 (or 11229562894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202132132002 its reverse (200231231202), we get a palindrome (402363363204).

The spelling of 202132132002 in words is "two hundred two billion, one hundred thirty-two million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 11229562889 22459125778 33688688667 67377377334 101066066001 202132132002