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213286348827 = 3315115227991
BaseRepresentation
bin1100011010100011011…
…0110110100000011011
3202101112021220010201000
43012220312312200123
511443302301130302
6241552110400043
721260302023606
oct3065066664033
9671467803630
10213286348827
11824aa646782
1235405200023
1317160b1c246
14a4748a933d
155834ada31c
hex31a8db681b

213286348827 has 16 divisors (see below), whose sum is σ = 316188956160. Its totient is φ = 142096768200.

The previous prime is 213286348823. The next prime is 213286348843. The reversal of 213286348827 is 728843682312.

213286348827 is a `hidden beast` number, since 2 + 13 + 286 + 348 + 8 + 2 + 7 = 666.

213286348827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213286348827 - 22 = 213286348823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213286348823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2573199 + ... + 2654792.

It is an arithmetic number, because the mean of its divisors is an integer number (19761809760).

Almost surely, 2213286348827 is an apocalyptic number.

213286348827 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

213286348827 is a deficient number, since it is larger than the sum of its proper divisors (102902607333).

213286348827 is a wasteful number, since it uses less digits than its factorization.

213286348827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229511 (or 5229505 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 213286348827 in words is "two hundred thirteen billion, two hundred eighty-six million, three hundred forty-eight thousand, eight hundred twenty-seven".

Divisors: 1 3 9 27 1511 4533 13599 40797 5227991 15683973 47051919 141155757 7899494401 23698483203 71095449609 213286348827