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124300204020 = 2234576728521
BaseRepresentation
bin111001111000011011…
…1101001011111110100
3102212211200202121110000
41303300313221133310
54014031323012040
6133034104431300
711660163205236
oct1636067513764
9385750677400
10124300204020
1148796252043
122010ba78530
13b94c0786a5
1460324c4256
15337777a130
hex1cf0de97f4

124300204020 has 60 divisors (see below), whose sum is σ = 389934348804. Its totient is φ = 33146720640.

The previous prime is 124300203961. The next prime is 124300204027. The reversal of 124300204020 is 20402003421.

124300204020 is a `hidden beast` number, since 1 + 243 + 0 + 0 + 20 + 402 + 0 = 666.

124300204020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37973537424 + 86326666596 = 194868^2 + 293814^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 124300203984 and 124300204002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124300204027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38362641 + ... + 38365880.

Almost surely, 2124300204020 is an apocalyptic number.

124300204020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124300204020 is an abundant number, since it is smaller than the sum of its proper divisors (265634144784).

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

124300204020 is a wasteful number, since it uses less digits than its factorization.

124300204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76728542 (or 76728531 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 124300204020 its reverse (20402003421), we get a palindrome (144702207441).

The spelling of 124300204020 in words is "one hundred twenty-four billion, three hundred million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 76728521 153457042 230185563 306914084 383642605 460371126 690556689 767285210 920742252 1150927815 1381113378 1534570420 2071670067 2301855630 2762226756 3452783445 4143340134 4603711260 6215010201 6905566890 8286680268 10358350335 12430020402 13811133780 20716700670 24860040804 31075051005 41433401340 62150102010 124300204020