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133431310206 = 2351791533799
BaseRepresentation
bin111110001000100100…
…0000011011101111110
3110202102001112212100000
41330101020003131332
54141231403411311
6141144132015130
712432360265125
oct1742110033576
9422361485300
10133431310206
1151651550297
1221a39a614a6
13c775a40abc
14665b0a6abc
15370e203056
hex1f1120377e

133431310206 has 48 divisors (see below), whose sum is σ = 301483728000. Its totient is φ = 44228599128.

The previous prime is 133431310163. The next prime is 133431310219. The reversal of 133431310206 is 602013134331.

133431310206 is a `hidden beast` number, since 1 + 3 + 343 + 1 + 310 + 2 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 133431310206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679906 + ... + 853893.

It is an arithmetic number, because the mean of its divisors is an integer number (6280911000).

Almost surely, 2133431310206 is an apocalyptic number.

133431310206 is an abundant number, since it is smaller than the sum of its proper divisors (168052417794).

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

133431310206 is a wasteful number, since it uses less digits than its factorization.

133431310206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533995 (or 1533983 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133431310206 its reverse (602013134331), we get a palindrome (735444444537).

The spelling of 133431310206 in words is "one hundred thirty-three billion, four hundred thirty-one million, three hundred ten thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 243 358 486 537 1074 1611 3222 4833 9666 14499 28998 43497 86994 1533799 3067598 4601397 9202794 13804191 27608382 41412573 82825146 124237719 248475438 274550021 372713157 549100042 745426314 823650063 1647300126 2470950189 4941900378 7412850567 14825701134 22238551701 44477103402 66715655103 133431310206