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1353114531 = 33373493881
BaseRepresentation
bin101000010100110…
…1110001110100011
310111022010100012000
41100221232032203
510232344131111
6342133535043
745350166216
oct12051561643
93438110160
101353114531
11634885a7a
123191a4483
13187443bb2
14cb9c977d
157dbd2c56
hex50a6e3a3

1353114531 has 32 divisors (see below), whose sum is σ = 2065224000. Its totient is φ = 874955520.

The previous prime is 1353114527. The next prime is 1353114533. The reversal of 1353114531 is 1354113531.

It is a happy number.

1353114531 is a `hidden beast` number, since 13 + 5 + 3 + 114 + 531 = 666.

It is not a de Polignac number, because 1353114531 - 22 = 1353114527 is a prime.

It is a super-2 number, since 2×13531145312 = 3661837868006699922, which 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 = 1353114495 and 1353114504.

It is not an unprimeable number, because it can be changed into a prime (1353114533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346711 + ... + 350591.

It is an arithmetic number, because the mean of its divisors is an integer number (64538250).

Almost surely, 21353114531 is an apocalyptic number.

1353114531 is a deficient number, since it is larger than the sum of its proper divisors (712109469).

1353114531 is a wasteful number, since it uses less digits than its factorization.

1353114531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4270 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 1353114531 is about 36784.7051231894. The cubic root of 1353114531 is about 1106.0587249877.

The spelling of 1353114531 in words is "one billion, three hundred fifty-three million, one hundred fourteen thousand, five hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 349 999 1047 3141 3881 9423 11643 12913 34929 38739 104787 116217 143597 348651 430791 1292373 1354469 3877119 4063407 12190221 36570663 50115353 150346059 451038177 1353114531