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10432240230 = 235171131571153
BaseRepresentation
bin10011011011100111…
…10101101001100110
3222221001002201020210
421231303311221212
5132331123141410
64443103040250
7516343402356
oct115563655146
928831081223
1010432240230
114473800545
1220318a0086
13ca3409619
1470d71ab66
15410cde220
hex26dcf5a66

10432240230 has 128 divisors (see below), whose sum is σ = 26938459008. Its totient is φ = 2576351232.

The previous prime is 10432240201. The next prime is 10432240237. The reversal of 10432240230 is 3204223401.

It is a junction number, because it is equal to n+sod(n) for n = 10432240197 and 10432240206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10432240237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9047334 + ... + 9048486.

It is an arithmetic number, because the mean of its divisors is an integer number (210456711).

Almost surely, 210432240230 is an apocalyptic number.

10432240230 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 10432240230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469229504).

10432240230 is an abundant number, since it is smaller than the sum of its proper divisors (16506218778).

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

10432240230 is a wasteful number, since it uses less digits than its factorization.

10432240230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10432240230 its reverse (3204223401), we get a palindrome (13636463631).

The spelling of 10432240230 in words is "ten billion, four hundred thirty-two million, two hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 113 157 170 226 255 314 339 471 510 565 678 785 942 1130 1153 1570 1695 1921 2306 2355 2669 3390 3459 3842 4710 5338 5763 5765 6918 8007 9605 11526 11530 13345 16014 17295 17741 19210 19601 26690 28815 34590 35482 39202 40035 53223 57630 58803 80070 88705 98005 106446 117606 130289 177410 181021 196010 260578 266115 294015 301597 362042 390867 532230 543063 588030 603194 651445 781734 904791 905105 1086126 1302890 1507985 1809582 1810210 1954335 2214913 2715315 3015970 3077357 3908670 4429826 4523955 5430630 6154714 6644739 9047910 9232071 11074565 13289478 15386785 18464142 20455373 22149130 30773570 33223695 40910746 46160355 61366119 66447390 92320710 102276865 122732238 204553730 306830595 347741341 613661190 695482682 1043224023 1738706705 2086448046 3477413410 5216120115 10432240230