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133105356252 = 223211336124637
BaseRepresentation
bin111101111110110110…
…0101000110111011100
3110201120100012200120100
41323331230220313130
54140044432400002
6141051525421100
712421321601061
oct1737554506734
9421510180510
10133105356252
11514a455a260
122196886a790
13c72335683b
146629a98c68
1536e07b911c
hex1efdb28ddc

133105356252 has 36 divisors (see below), whose sum is σ = 367048104696. Its totient is φ = 40334956320.

The previous prime is 133105356247. The next prime is 133105356271. The reversal of 133105356252 is 252653501331.

133105356252 is a `hidden beast` number, since 1 + 3 + 3 + 10 + 535 + 62 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168061923 + ... + 168062714.

It is an arithmetic number, because the mean of its divisors is an integer number (10195780686).

Almost surely, 2133105356252 is an apocalyptic number.

133105356252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133105356252 is an abundant number, since it is smaller than the sum of its proper divisors (233942748444).

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

133105356252 is a wasteful number, since it uses less digits than its factorization.

133105356252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336124658 (or 336124653 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 133105356252 its reverse (252653501331), we get a palindrome (385758857583).

The spelling of 133105356252 in words is "one hundred thirty-three billion, one hundred five million, three hundred fifty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 336124637 672249274 1008373911 1344498548 2016747822 3025121733 3697371007 4033495644 6050243466 7394742014 11092113021 12100486932 14789484028 22184226042 33276339063 44368452084 66552678126 133105356252