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10211232213 = 32713373171063
BaseRepresentation
bin10011000001010001…
…10000100111010101
3222100122020100020200
421200220300213111
5131403033412323
64405130051113
7511021020210
oct114050604725
928318210220
1010211232213
11436aa79996
121b8b879a99
13c696a8150
146cc22a777
153eb6d5443
hex260a309d5

10211232213 has 96 divisors (see below), whose sum is σ = 18720339456. Its totient is φ = 5219126784.

The previous prime is 10211232179. The next prime is 10211232277. The reversal of 10211232213 is 31223211201.

10211232213 is a `hidden beast` number, since 10 + 211 + 232 + 213 = 666.

It is not a de Polignac number, because 10211232213 - 28 = 10211231957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211232113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9605520 + ... + 9606582.

It is an arithmetic number, because the mean of its divisors is an integer number (195003536).

Almost surely, 210211232213 is an apocalyptic number.

10211232213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10211232213 is a deficient number, since it is larger than the sum of its proper divisors (8509107243).

10211232213 is a wasteful number, since it uses less digits than its factorization.

10211232213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10211232213 its reverse (31223211201), we get a palindrome (41434443414).

The spelling of 10211232213 in words is "ten billion, two hundred eleven million, two hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 317 333 481 777 819 951 1063 1443 2219 2331 2853 3189 3367 4121 4329 6657 7441 9567 10101 11729 12363 13819 19971 22323 28847 30303 35187 37089 39331 41457 66969 82103 86541 96733 105561 117993 124371 152477 246309 259623 275317 290199 336971 353979 457431 511303 738927 825951 870597 1010913 1067339 1372293 1533909 2358797 2477853 3032739 3202017 3579121 4380623 4601727 7076391 9606051 10737363 12467927 13141869 21229173 30664361 32212089 37403781 39425607 87275489 91993083 112211343 162083051 261826467 275979249 486249153 785479401 1134581357 1458747459 3403744071 10211232213