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132100241312106 = 2336736511951717
BaseRepresentation
bin11110000010010011111011…
…111101010100100101101010
3122022201122210221120101222000
4132002103323331110211222
5114303312243233441411
61144542002454111430
736552633061254054
oct3602237375244552
9568648727511860
10132100241312106
1139100441413501
1212995ab364b576
135892ccb619102
142489985b668d4
15104136ca7a956
hex7824fbf5496a

132100241312106 has 32 divisors (see below), whose sum is σ = 297937526018880. Its totient is φ = 43376198638608.

The previous prime is 132100241312101. The next prime is 132100241312107. The reversal of 132100241312106 is 601213142001231.

132100241312106 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 0 + 241 + 312 + 106 = 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 132100241312106.

It is not an unprimeable number, because it can be changed into a prime (132100241312101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18255972241 + ... + 18255979476.

It is an arithmetic number, because the mean of its divisors is an integer number (9310547688090).

Almost surely, 2132100241312106 is an apocalyptic number.

132100241312106 is an abundant number, since it is smaller than the sum of its proper divisors (165837284706774).

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

132100241312106 is a wasteful number, since it uses less digits than its factorization.

132100241312106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36511951795 (or 36511951789 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 132100241312106 its reverse (601213142001231), we get a palindrome (733313383313337).

The spelling of 132100241312106 in words is "one hundred thirty-two trillion, one hundred billion, two hundred forty-one million, three hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 36511951717 73023903434 109535855151 219071710302 328607565453 657215130906 985822696359 1971645392718 2446300765039 4892601530078 7338902295117 14677804590234 22016706885351 44033413770702 66050120656053 132100241312106