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1353522031 = 17314995147
BaseRepresentation
bin101000010101101…
…0001101101101111
310111022220001011121
41100223101231233
510233000201111
6342150401411
745353514241
oct12053215557
93438801147
101353522031
11635034154
12319360267
13187557514
14cba94091
157dc63871
hex50ad1b6f

1353522031 has 16 divisors (see below), whose sum is σ = 1482624000. Its totient is φ = 1230099840.

The previous prime is 1353522013. The next prime is 1353522067. The reversal of 1353522031 is 1302253531.

It is a de Polignac number, because none of the positive numbers 2k-1353522031 is a prime.

It is a super-2 number, since 2×13535220312 = 3664043776804729922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1353521987 and 1353522005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353525031) 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 15 ways as a sum of consecutive naturals, for example, 260400 + ... + 265546.

It is an arithmetic number, because the mean of its divisors is an integer number (92664000).

Almost surely, 21353522031 is an apocalyptic number.

1353522031 is a deficient number, since it is larger than the sum of its proper divisors (129101969).

1353522031 is a wasteful number, since it uses less digits than its factorization.

1353522031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694.

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1353522031 is about 36790.2436931315. The cubic root of 1353522031 is about 1106.1697463098.

Adding to 1353522031 its reverse (1302253531), we get a palindrome (2655775562).

The spelling of 1353522031 in words is "one billion, three hundred fifty-three million, five hundred twenty-two thousand, thirty-one".

Divisors: 1 17 31 499 527 5147 8483 15469 87499 159557 262973 2568353 2712469 43662001 79618943 1353522031