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20101332312 = 2332279185171
BaseRepresentation
bin10010101110001000…
…011111110101011000
31220212220012111001100
4102232020133311120
5312131420113222
613122345151400
71311062335245
oct225610376530
956786174040
1020101332312
118585750536
123a8ba8b560
131b84696999
14d899425cc
157c9ad54ac
hex4ae21fd58

20101332312 has 24 divisors (see below), whose sum is σ = 54441108540. Its totient is φ = 6700444080.

The previous prime is 20101332259. The next prime is 20101332319. The reversal of 20101332312 is 21323310102.

20101332312 is a `hidden beast` number, since 20 + 1 + 0 + 1 + 332 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101332319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139592514 + ... + 139592657.

Almost surely, 220101332312 is an apocalyptic number.

It is an amenable number.

20101332312 is an abundant number, since it is smaller than the sum of its proper divisors (34339776228).

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

20101332312 is a wasteful number, since it uses less digits than its factorization.

20101332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279185183 (or 279185176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20101332312 its reverse (21323310102), we get a palindrome (41424642414).

The spelling of 20101332312 in words is "twenty billion, one hundred one million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 279185171 558370342 837555513 1116740684 1675111026 2233481368 2512666539 3350222052 5025333078 6700444104 10050666156 20101332312