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1331532135 = 335371272099
BaseRepresentation
bin100111101011101…
…1001000101100111
310102210111211201000
41033113121011213
510211333012020
6340043204343
744665556613
oct11727310547
93383454630
101331532135
1162368488a
12311b166b3
13182b2844b
14c8bac343
157bd6d090
hex4f5d9167

1331532135 has 64 divisors (see below), whose sum is σ = 2451456000. Its totient is φ = 685190016.

The previous prime is 1331532131. The next prime is 1331532143. The reversal of 1331532135 is 5312351331.

1331532135 is a `hidden beast` number, since 1 + 331 + 5 + 321 + 3 + 5 = 666.

It is not a de Polignac number, because 1331532135 - 22 = 1331532131 is a prime.

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 = 1331532099 and 1331532108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331532131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633316 + ... + 635414.

It is an arithmetic number, because the mean of its divisors is an integer number (38304000).

Almost surely, 21331532135 is an apocalyptic number.

1331532135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1331532135 is a deficient number, since it is larger than the sum of its proper divisors (1119923865).

1331532135 is a wasteful number, since it uses less digits than its factorization.

1331532135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2271 counting only the distinct ones).

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

The square root of 1331532135 is about 36490.1649078214. The cubic root of 1331532135 is about 1100.1465741322.

Adding to 1331532135 its reverse (5312351331), we get a palindrome (6643883466).

The spelling of 1331532135 in words is "one billion, three hundred thirty-one million, five hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 37 45 111 127 135 185 333 381 555 635 999 1143 1665 1905 2099 3429 4699 4995 5715 6297 10495 14097 17145 18891 23495 31485 42291 56673 70485 77663 94455 126873 211455 232989 266573 283365 388315 634365 698967 799719 1164945 1332865 2096901 2399157 3494835 3998595 7197471 9863201 10484505 11995785 29589603 35987355 49316005 88768809 147948015 266306427 443844045 1331532135