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21542132331 = 345334714461
BaseRepresentation
bin10100000100000000…
…101101101001101011
32001121022022201010000
4110010000231221223
5323104241213311
613521334354043
71361556050346
oct240400555153
961538281100
1021542132331
119154a76955
1242124bb923
13205402c185
14108503545d
15861339056
hex50402da6b

21542132331 has 40 divisors (see below), whose sum is σ = 32884158384. Its totient is φ = 14048873280.

The previous prime is 21542132251. The next prime is 21542132357. The reversal of 21542132331 is 13323124512.

21542132331 is a `hidden beast` number, since 2 + 1 + 5 + 421 + 3 + 233 + 1 = 666.

It is not a de Polignac number, because 21542132331 - 210 = 21542131307 is a prime.

It is a super-2 number, since 2×215421323312 (a number of 21 digits) contains 22 as substring.

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 = 21542132295 and 21542132304.

It is not an unprimeable number, because it can be changed into a prime (21542132831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1482441 + ... + 1496901.

Almost surely, 221542132331 is an apocalyptic number.

21542132331 is a deficient number, since it is larger than the sum of its proper divisors (11342026053).

21542132331 is a wasteful number, since it uses less digits than its factorization.

21542132331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873 (or 14864 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 21542132331 its reverse (13323124512), we get a palindrome (34865256843).

The spelling of 21542132331 in words is "twenty-one billion, five hundred forty-two million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 53 81 159 347 477 1041 1431 3123 4293 9369 14461 18391 28107 43383 55173 130149 165519 390447 496557 766433 1171341 1489671 2299299 5017967 6897897 15053901 20693691 45161703 62081073 135485109 265952251 406455327 797856753 2393570259 7180710777 21542132331