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21023361135 = 335726098527
BaseRepresentation
bin10011100101000101…
…110000100001101111
32000021011011101211000
4103211011300201233
5321023440024020
613354043331343
71342656423030
oct234505604157
960234141730
1021023361135
118a09159427
1240a8820b53
131ca070407a
141036194a87
15830a14090
hex4e517086f

21023361135 has 64 divisors (see below), whose sum is σ = 42735513600. Its totient is φ = 9605869056.

The previous prime is 21023361131. The next prime is 21023361143. The reversal of 21023361135 is 53116332012.

21023361135 is a `hidden beast` number, since 2 + 10 + 2 + 3 + 3 + 611 + 35 = 666.

It is not a de Polignac number, because 21023361135 - 22 = 21023361131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21023361099 and 21023361108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21023361131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2461242 + ... + 2469768.

It is an arithmetic number, because the mean of its divisors is an integer number (667742400).

Almost surely, 221023361135 is an apocalyptic number.

21023361135 is an abundant number, since it is smaller than the sum of its proper divisors (21712152465).

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

21023361135 is a wasteful number, since it uses less digits than its factorization.

21023361135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11151 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 21023361135 its reverse (53116332012), we get a palindrome (74139693147).

The spelling of 21023361135 in words is "twenty-one billion, twenty-three million, three hundred sixty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2609 7827 8527 13045 18263 23481 25581 39135 42635 54789 59689 70443 76743 91315 117405 127905 164367 179067 230229 273945 298445 352215 383715 493101 537201 821835 895335 1151145 1611603 2465505 2686005 8058015 22246943 66740829 111234715 155728601 200222487 333704145 467185803 600667461 778643005 1001112435 1401557409 2335929015 3003337305 4204672227 7007787045 21023361135