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133103102112 = 2532479833267
BaseRepresentation
bin111101111110110010…
…0000010100010100000
3110201120011222011110200
41323331210002202200
54140043343231422
6141051405225200
712421263462201
oct1737544024240
9421504864420
10133103102112
11514a325a732
1221967b62200
13c722a47826
14662966d5a8
1536e04c12ac
hex1efd9028a0

133103102112 has 72 divisors (see below), whose sum is σ = 386565431616. Its totient is φ = 43423702656.

The previous prime is 133103102101. The next prime is 133103102137. The reversal of 133103102112 is 211201301331.

133103102112 is a `hidden beast` number, since 1 + 331 + 0 + 310 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4903098 + ... + 4930169.

It is an arithmetic number, because the mean of its divisors is an integer number (5368964328).

Almost surely, 2133103102112 is an apocalyptic number.

133103102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133103102112 is an abundant number, since it is smaller than the sum of its proper divisors (253462329504).

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

133103102112 is a wasteful number, since it uses less digits than its factorization.

133103102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833330 (or 9833319 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133103102112 its reverse (211201301331), we get a palindrome (344304403443).

The spelling of 133103102112 in words is "one hundred thirty-three billion, one hundred three million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 9833267 19666534 29499801 39333068 58999602 78666136 88499403 117999204 157332272 176998806 235998408 314664544 353997612 462163549 471996816 707995224 924327098 943993632 1386490647 1415990448 1848654196 2772981294 2831980896 3697308392 4159471941 5545962588 7394616784 8318943882 11091925176 14789233568 16637887764 22183850352 33275775528 44367700704 66551551056 133103102112