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64122102 = 23211615309
BaseRepresentation
bin1111010010011…
…0110011110110
311110122201222200
43310212303312
5112403401402
610210205330
71406012622
oct364466366
9143581880
1064122102
1133216980
1219583846
1310391295
148732182
15596921c
hex3d26cf6

64122102 has 48 divisors (see below), whose sum is σ = 154074960. Its totient is φ = 19108800.

The previous prime is 64122101. The next prime is 64122109. The reversal of 64122102 is 20122146.

64122102 is a `hidden beast` number, since 641 + 2 + 21 + 0 + 2 = 666.

It is a super-2 number, since 2×641221022 = 8223287929796808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64122101) 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, 9424 + ... + 14732.

It is an arithmetic number, because the mean of its divisors is an integer number (3209895).

Almost surely, 264122102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77037480).

64122102 is an abundant number, since it is smaller than the sum of its proper divisors (89952858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64122102 is a wasteful number, since it uses less digits than its factorization.

64122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 64122102 is about 8007.6277386002. The cubic root of 64122102 is about 400.2542175660.

Adding to 64122102 its reverse (20122146), we get a palindrome (84244248).

The spelling of 64122102 in words is "sixty-four million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 5309 6039 10618 12078 15927 31854 47781 58399 95562 116798 175197 323849 350394 525591 647698 971547 1051182 1943094 2914641 3562339 5829282 7124678 10687017 21374034 32061051 64122102