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124030400010 = 235111933758699
BaseRepresentation
bin111001110000011001…
…0011011011000001010
3102212010220002010220220
41303200302123120022
54013003240300020
6132551225530510
711650406001516
oct1634062333012
9385126063826
10124030400010
1148667a22320
1220055643a36
13b9081c0b4a
146008731146
15335dc33240
hex1ce0c9b60a

124030400010 has 128 divisors (see below), whose sum is σ = 342845568000. Its totient is φ = 28400440320.

The previous prime is 124030400009. The next prime is 124030400017. The reversal of 124030400010 is 10004030421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (124030400017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2083641 + ... + 2142339.

It is an arithmetic number, because the mean of its divisors is an integer number (2678481000).

Almost surely, 2124030400010 is an apocalyptic number.

124030400010 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 124030400010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171422784000).

124030400010 is an abundant number, since it is smaller than the sum of its proper divisors (218815167990).

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

124030400010 is a wasteful number, since it uses less digits than its factorization.

124030400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59076.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 124030400010 its reverse (10004030421), we get a palindrome (134034430431).

The spelling of 124030400010 in words is "one hundred twenty-four billion, thirty million, four hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 337 418 570 627 674 1011 1045 1254 1685 2022 2090 3135 3370 3707 5055 6270 6403 7414 10110 11121 12806 18535 19209 22242 32015 37070 38418 55605 58699 64030 70433 96045 111210 117398 140866 176097 192090 211299 293495 352165 352194 422598 586990 645689 704330 880485 1056495 1115281 1291378 1760970 1937067 2112990 2230562 3228445 3345843 3874134 5576405 6456890 6691686 9685335 11152810 12268091 16729215 19370670 19781563 24536182 33458430 36804273 39563126 59344689 61340455 73608546 98907815 118689378 122680910 184021365 197815630 217597193 296723445 368042730 375849697 435194386 593446890 652791579 751699394 1087985965 1127549091 1305583158 1879248485 2175971930 2255098182 3263957895 3758496970 4134346667 5637745455 6527915790 8268693334 11275490910 12403040001 20671733335 24806080002 41343466670 62015200005 124030400010