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123044130 = 233511172437
BaseRepresentation
bin1110101010110…
…00000100100010
322120112021211000
413111120010202
5222444403010
620113132430
73022600146
oct725300442
9276467730
10123044130
1163500970
123525a116
131c6516a1
14124ad226
15ac077c0
hex7558122

123044130 has 128 divisors (see below), whose sum is σ = 379157760. Its totient is φ = 28062720.

The previous prime is 123044123. The next prime is 123044153. The reversal of 123044130 is 31440321.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 49272 + ... + 51708.

It is an arithmetic number, because the mean of its divisors is an integer number (2962170).

Almost surely, 2123044130 is an apocalyptic number.

123044130 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 123044130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189578880).

123044130 is an abundant number, since it is smaller than the sum of its proper divisors (256113630).

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

123044130 is a wasteful number, since it uses less digits than its factorization.

123044130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123044130 is about 11092.5258620388. The cubic root of 123044130 is about 497.3784523311.

Adding to 123044130 its reverse (31440321), we get a palindrome (154484451).

The spelling of 123044130 in words is "one hundred twenty-three million, forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1870 2295 2437 2805 2970 3366 4590 4874 5049 5610 7311 8415 10098 12185 14622 16830 21933 24370 25245 26807 36555 41429 43866 50490 53614 65799 73110 80421 82858 109665 124287 131598 134035 160842 207145 219330 241263 248574 268070 328995 372861 402105 414290 455719 482526 621435 657990 723789 745722 804210 911438 1118583 1206315 1242870 1367157 1447578 1864305 2237166 2278595 2412630 2734314 3618945 3728610 4101471 4557190 5592915 6835785 7237890 8202942 11185830 12304413 13671570 20507355 24608826 41014710 61522065 123044130