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211229607141 = 3372159659567
BaseRepresentation
bin1100010010111001000…
…1000000010011100101
3202012012221202211112000
43010232101000103211
511430044234412031
6241012035315513
721155316015300
oct3045621002345
9665187684460
10211229607141
1181644674263
1234b3044bb99
1316bc3999027
14a31b67db37
15576426a3e6
hex312e4404e5

211229607141 has 24 divisors (see below), whose sum is σ = 364023815040. Its totient is φ = 120702631896.

The previous prime is 211229607133. The next prime is 211229607143. The reversal of 211229607141 is 141706922112.

211229607141 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 2 + 9 + 607 + 1 + 41 = 666.

It is not a de Polignac number, because 211229607141 - 23 = 211229607133 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211229607096 and 211229607105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211229607143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79828461 + ... + 79831106.

It is an arithmetic number, because the mean of its divisors is an integer number (15167658960).

Almost surely, 2211229607141 is an apocalyptic number.

211229607141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211229607141 is a deficient number, since it is larger than the sum of its proper divisors (152794207899).

211229607141 is a wasteful number, since it uses less digits than its factorization.

211229607141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159659590 (or 159659577 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 211229607141 in words is "two hundred eleven billion, two hundred twenty-nine million, six hundred seven thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 159659567 478978701 1117616969 1436936103 3352850907 4310808309 7823318783 10058552721 23469956349 30175658163 70409869047 211229607141