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122164010 = 2537418053
BaseRepresentation
bin1110100100000…
…01001100101010
322111212120111222
413102001030222
5222233222020
620042222042
73012243203
oct722011452
9274776458
10122164010
1162a5a6a1
1234ab4922
131c403bc7
14123205aa
15aad1b25
hex748132a

122164010 has 32 divisors (see below), whose sum is σ = 231375312. Its totient is φ = 46379520.

The previous prime is 122163991. The next prime is 122164013. The reversal of 122164010 is 10461221.

It can be written as a sum of positive squares in 8 ways, for example, as 63473089 + 58690921 = 7967^2 + 7661^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122164010.

It is not an unprimeable number, because it can be changed into a prime (122164013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11144 + ... + 19196.

Almost surely, 2122164010 is an apocalyptic number.

122164010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122164010 is a deficient number, since it is larger than the sum of its proper divisors (109211302).

122164010 is a wasteful number, since it uses less digits than its factorization.

122164010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 122164010 is about 11052.7829074853. The cubic root of 122164010 is about 496.1897172489.

The spelling of 122164010 in words is "one hundred twenty-two million, one hundred sixty-four thousand, ten".

Divisors: 1 2 5 10 37 41 74 82 185 205 370 410 1517 3034 7585 8053 15170 16106 40265 80530 297961 330173 595922 660346 1489805 1650865 2979610 3301730 12216401 24432802 61082005 122164010