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21131002122303 = 3195345715305699
BaseRepresentation
bin1001100110111111100011…
…11000000001000000111111
32202211002210212111021010110
410303133301320001000333
510232202243020403203
6112535240502441103
74310443634315433
oct463376170010077
982732725437113
1021131002122303
1168076758a5407
1224533b5a33193
13ba384cc55278
14530a62cb09c3
152699ec410d03
hex1337f1e0103f

21131002122303 has 32 divisors (see below), whose sum is σ = 30283245792000. Its totient is φ = 13065433595136.

The previous prime is 21131002122233. The next prime is 21131002122359. The reversal of 21131002122303 is 30322120013112.

It is not a de Polignac number, because 21131002122303 - 214 = 21131002105919 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21131002122303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131002122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6272253 + ... + 9033446.

It is an arithmetic number, because the mean of its divisors is an integer number (946351431000).

Almost surely, 221131002122303 is an apocalyptic number.

21131002122303 is a deficient number, since it is larger than the sum of its proper divisors (9152243669697).

21131002122303 is a wasteful number, since it uses less digits than its factorization.

21131002122303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15306231.

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

Adding to 21131002122303 its reverse (30322120013112), we get a palindrome (51453122135415).

The spelling of 21131002122303 in words is "twenty-one trillion, one hundred thirty-one billion, two million, one hundred twenty-two thousand, three hundred three".

Divisors: 1 3 19 53 57 159 457 1007 1371 3021 8683 24221 26049 72663 460199 1380597 15305699 45917097 290808281 811202047 872424843 2433606141 6994704443 15412838893 20984113329 46238516679 132899384417 370719335479 398698153251 1112158006437 7043667374101 21131002122303