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34229821357 is a prime number
BaseRepresentation
bin11111111000010000…
…011001111110101101
310021100112110002110101
4133320100121332231
51030100313240412
623420331511101
72321150452354
oct377020317655
9107315402411
1034229821357
1113575929466
1267735b8491
1332c67b2684
14192a10499b
15d55149457
hex7f8419fad

34229821357 has 2 divisors, whose sum is σ = 34229821358. Its totient is φ = 34229821356.

The previous prime is 34229821333. The next prime is 34229821363. The reversal of 34229821357 is 75312892243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32960039401 + 1269781956 = 181549^2 + 35634^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34229821357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34229801357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17114910678 + 17114910679.

It is an arithmetic number, because the mean of its divisors is an integer number (17114910679).

Almost surely, 234229821357 is an apocalyptic number.

It is an amenable number.

34229821357 is a deficient number, since it is larger than the sum of its proper divisors (1).

34229821357 is an equidigital number, since it uses as much as digits as its factorization.

34229821357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 46.

The spelling of 34229821357 in words is "thirty-four billion, two hundred twenty-nine million, eight hundred twenty-one thousand, three hundred fifty-seven".