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135321210 = 23253740637
BaseRepresentation
bin10000001000011…
…01011001111010
3100102122000210200
420010031121322
5234120234320
621232223030
73232132323
oct1004153172
9312560720
10135321210
116a426912
123939aa76
132205c82b
1413d8744a
15bd30290
hex810d67a

135321210 has 48 divisors (see below), whose sum is σ = 361353096. Its totient is φ = 35109504.

The previous prime is 135321181. The next prime is 135321223. The reversal of 135321210 is 12123531.

135321210 is a `hidden beast` number, since 13 + 532 + 121 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91642329 + 43678881 = 9573^2 + 6609^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16989 + ... + 23648.

Almost surely, 2135321210 is an apocalyptic number.

135321210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135321210 is an abundant number, since it is smaller than the sum of its proper divisors (226031886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135321210 is a wasteful number, since it uses less digits than its factorization.

135321210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40687 (or 40684 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135321210 is about 11632.7645037626. The cubic root of 135321210 is about 513.3993220204.

Adding to 135321210 its reverse (12123531), we get a palindrome (147444741).

It can be divided in two parts, 135321 and 210, that added together give a palindrome (135531).

The spelling of 135321210 in words is "one hundred thirty-five million, three hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 40637 81274 121911 203185 243822 365733 406370 609555 731466 1219110 1503569 1828665 3007138 3657330 4510707 7517845 9021414 13532121 15035690 22553535 27064242 45107070 67660605 135321210