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1353532131 = 3271071991009
BaseRepresentation
bin101000010101101…
…0100001011100011
310111022220120000200
41100223110023203
510233001012011
6342150520243
745353555550
oct12053241343
93438816020
101353532131
116350407a6
12319366083
1318755bcb3
14cba97a27
157dc66856
hex50ad42e3

1353532131 has 48 divisors (see below), whose sum is σ = 2268864000. Its totient is φ = 761612544.

The previous prime is 1353532097. The next prime is 1353532171. The reversal of 1353532131 is 1312353531.

It is not a de Polignac number, because 1353532131 - 26 = 1353532067 is a prime.

It is a super-2 number, since 2×13535321312 = 3664098459298802322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1353532095 and 1353532104.

It is not an unprimeable number, because it can be changed into a prime (1353532171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1340955 + ... + 1341963.

It is an arithmetic number, because the mean of its divisors is an integer number (47268000).

Almost surely, 21353532131 is an apocalyptic number.

1353532131 is a deficient number, since it is larger than the sum of its proper divisors (915331869).

1353532131 is a wasteful number, since it uses less digits than its factorization.

1353532131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1325 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 1353532131 is about 36790.3809575275. The cubic root of 1353532131 is about 1106.1724977209.

Adding to 1353532131 its reverse (1312353531), we get a palindrome (2665885662).

The spelling of 1353532131 in words is "one billion, three hundred fifty-three million, five hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 107 199 321 597 749 963 1009 1393 1791 2247 3027 4179 6741 7063 9081 12537 21189 21293 63567 63879 107963 149051 191637 200791 323889 447153 602373 755741 971667 1341459 1405537 1807119 2267223 4216611 6801669 12649833 21484637 64453911 150392459 193361733 451177377 1353532131