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10211133132 = 223510505281
BaseRepresentation
bin10011000001010000…
…11000011011001100
3222100122001022100000
421200220120123030
5131403022230012
64405124004300
7511020125304
oct114050303314
928318038300
1010211133132
11436aa11502
121b8b830690
13c69672015
146cc202604
153eb6b5ddc
hex260a186cc

10211133132 has 36 divisors (see below), whose sum is σ = 26767458536. Its totient is φ = 3403710720.

The previous prime is 10211133109. The next prime is 10211133139. The reversal of 10211133132 is 23133111201.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (10211133139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5251669 + ... + 5253612.

Almost surely, 210211133132 is an apocalyptic number.

10211133132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211133132 is an abundant number, since it is smaller than the sum of its proper divisors (16556325404).

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

10211133132 is a wasteful number, since it uses less digits than its factorization.

10211133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505300 (or 10505286 counting only the distinct ones).

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

Adding to 10211133132 its reverse (23133111201), we get a palindrome (33344244333).

The spelling of 10211133132 in words is "ten billion, two hundred eleven million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 10505281 21010562 31515843 42021124 63031686 94547529 126063372 189095058 283642587 378190116 567285174 850927761 1134570348 1701855522 2552783283 3403711044 5105566566 10211133132