Search a number
-
+
122333130 = 232531163269
BaseRepresentation
bin1110100101010…
…10011111001010
322112012011111200
413102222133022
5222304130010
620050005030
73013546233
oct722523712
9275164450
10122333130
1163065767
1234b76776
131c462b8a
141236608a
15ab16cc0
hex74aa7ca

122333130 has 96 divisors (see below), whose sum is σ = 331568640. Its totient is φ = 31259520.

The previous prime is 122333111. The next prime is 122333143. The reversal of 122333130 is 31333221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454636 + ... + 454904.

It is an arithmetic number, because the mean of its divisors is an integer number (3453840).

Almost surely, 2122333130 is an apocalyptic number.

122333130 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 122333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165784320).

122333130 is an abundant number, since it is smaller than the sum of its proper divisors (209235510).

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

122333130 is a wasteful number, since it uses less digits than its factorization.

122333130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 122333130 is about 11060.4308234354. The cubic root of 122333130 is about 496.4185814656.

Adding to 122333130 its reverse (31333221), we get a palindrome (153666351).

Subtracting from 122333130 its reverse (31333221), we obtain a palindrome (90999909).

The spelling of 122333130 in words is "one hundred twenty-two million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 163 186 269 279 310 326 465 489 538 558 807 815 930 978 1345 1395 1467 1614 1630 2421 2445 2690 2790 2934 4035 4842 4890 5053 7335 8070 8339 10106 12105 14670 15159 16678 24210 25017 25265 30318 41695 43847 45477 50034 50530 75051 75795 83390 87694 90954 125085 131541 150102 151590 219235 227385 250170 263082 375255 394623 438470 454770 657705 750510 789246 1315410 1359257 1973115 2718514 3946230 4077771 6796285 8155542 12233313 13592570 20388855 24466626 40777710 61166565 122333130