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212948138249 = 71121234320369
BaseRepresentation
bin1100011001010010110…
…0101011100100001001
3202100122201111021000022
43012110230223210021
511442104210410444
6241454345350225
721246024211130
oct3062454534411
9670581437008
10212948138249
1182346744100
123532ba98375
1317108a33242
14a4419ca917
15581507e9ee
hex3194b2b909

212948138249 has 24 divisors (see below), whose sum is σ = 267539905920. Its totient is φ = 165912024960.

The previous prime is 212948138243. The next prime is 212948138257. The reversal of 212948138249 is 942831849212.

It is not a de Polignac number, because 212948138249 - 224 = 212931361033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212948138249.

It is not an unprimeable number, because it can be changed into a prime (212948138243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10444337 + ... + 10464705.

It is an arithmetic number, because the mean of its divisors is an integer number (11147496080).

Almost surely, 2212948138249 is an apocalyptic number.

It is an amenable number.

212948138249 is a deficient number, since it is larger than the sum of its proper divisors (54591767671).

212948138249 is a wasteful number, since it uses less digits than its factorization.

212948138249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32741 (or 32730 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 53.

The spelling of 212948138249 in words is "two hundred twelve billion, nine hundred forty-eight million, one hundred thirty-eight thousand, two hundred forty-nine".

Divisors: 1 7 11 77 121 847 12343 20369 86401 135773 142583 224059 950411 1493503 1568413 2464649 10454521 17252543 251414567 1759901969 2765560237 19358921659 30421162607 212948138249