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21542145135 = 3572206314207
BaseRepresentation
bin10100000100000000…
…110000110001101111
32001121022100100200020
4110010000300301233
5323104242121020
613521334533223
71361556132600
oct240400606157
961538310606
1021542145135
119154a85535
124212507213
132054034c54
141085039da7
1586133cc40
hex504030c6f

21542145135 has 48 divisors (see below), whose sum is σ = 40117026816. Its totient is φ = 9842371392.

The previous prime is 21542145091. The next prime is 21542145137. The reversal of 21542145135 is 53154124512.

It is not a de Polignac number, because 21542145135 - 211 = 21542143087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21542145096 and 21542145105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21542145137) 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 47 ways as a sum of consecutive naturals, for example, 1509202 + ... + 1523408.

It is an arithmetic number, because the mean of its divisors is an integer number (835771392).

Almost surely, 221542145135 is an apocalyptic number.

21542145135 is a deficient number, since it is larger than the sum of its proper divisors (18574881681).

21542145135 is a wasteful number, since it uses less digits than its factorization.

21542145135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16292 (or 16285 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

Adding to 21542145135 its reverse (53154124512), we get a palindrome (74696269647).

The spelling of 21542145135 in words is "twenty-one billion, five hundred forty-two million, one hundred forty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 2063 6189 10315 14207 14441 30945 42621 43323 71035 72205 99449 101087 213105 216615 298347 303261 497245 505435 696143 1491735 1516305 2088429 3480715 10442145 29309041 87927123 146545205 205163287 439635615 615489861 1025816435 1436143009 3077449305 4308429027 7180715045 21542145135