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124103212420 = 225114167720323
BaseRepresentation
bin111001110010100100…
…0001011110110000100
3102212022222002101202211
41303211020023312010
54013130410244140
6133002350313204
711652251620555
oct1634510136604
9385288071684
10124103212420
11486a5034370
1220075ab8804
13b91a305805
14601428632c
1533653172ea
hex1ce520bd84

124103212420 has 96 divisors (see below), whose sum is σ = 291688096896. Its totient is φ = 43960550400.

The previous prime is 124103212411. The next prime is 124103212427. The reversal of 124103212420 is 24212301421.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 124103212391 and 124103212400.

It is not an unprimeable number, because it can be changed into a prime (124103212427) 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 31 ways as a sum of consecutive naturals, for example, 6096379 + ... + 6116701.

It is an arithmetic number, because the mean of its divisors is an integer number (3038417676).

Almost surely, 2124103212420 is an apocalyptic number.

124103212420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124103212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145844048448).

124103212420 is an abundant number, since it is smaller than the sum of its proper divisors (167584884476).

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

124103212420 is a wasteful number, since it uses less digits than its factorization.

124103212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21061 (or 21059 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 124103212420 its reverse (24212301421), we get a palindrome (148315513841).

The spelling of 124103212420 in words is "one hundred twenty-four billion, one hundred three million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 677 820 902 1354 1804 2255 2708 3385 4510 6770 7447 9020 13540 14894 20323 27757 29788 37235 40646 55514 74470 81292 101615 111028 138785 148940 203230 223553 277570 305327 406460 447106 555140 610654 833243 894212 1117765 1221308 1526635 1666486 2235530 3053270 3332972 4166215 4471060 6106540 8332430 9165673 13758671 16664860 18331346 27517342 36662692 45828365 55034684 68793355 91656730 137586710 151345381 183313460 275173420 302690762 564105511 605381524 756726905 1128211022 1513453810 2256422044 2820527555 3026907620 5641055110 6205160621 11282110220 12410321242 24820642484 31025803105 62051606210 124103212420