Search a number
-
+
122010030 = 23351393251
BaseRepresentation
bin1110100010110…
…11100110101110
322111120202022000
413101123212232
5222213310110
620035033130
73011032242
oct721334656
9274522260
10122010030
1162964a3a
1234a3b7a6
131c37baac
14122c0422
15aaa11c0
hex745b9ae

122010030 has 64 divisors (see below), whose sum is σ = 327801600. Its totient is φ = 32292000.

The previous prime is 122010029. The next prime is 122010059. The reversal of 122010030 is 30010221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122009994 and 122010021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35905 + ... + 39155.

It is an arithmetic number, because the mean of its divisors is an integer number (5121900).

Almost surely, 2122010030 is an apocalyptic number.

122010030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163900800).

122010030 is an abundant number, since it is smaller than the sum of its proper divisors (205791570).

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

122010030 is a wasteful number, since it uses less digits than its factorization.

122010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 122010030 is about 11045.8150446221. The cubic root of 122010030 is about 495.9811576913.

Adding to 122010030 its reverse (30010221), we get a palindrome (152020251).

The spelling of 122010030 in words is "one hundred twenty-two million, ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 139 270 278 417 695 834 1251 1390 2085 2502 3251 3753 4170 6255 6502 7506 9753 12510 16255 18765 19506 29259 32510 37530 48765 58518 87777 97530 146295 175554 292590 438885 451889 877770 903778 1355667 2259445 2711334 4067001 4518890 6778335 8134002 12201003 13556670 20335005 24402006 40670010 61005015 122010030