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124206200041 = 721122321992
BaseRepresentation
bin111001110101101000…
…1000011010011101001
3102212121010212201020011
41303223101003103221
54013333241400131
6133020505531521
711654642165200
oct1635321032351
9385533781204
10124206200041
1148748186500
12200a44a3ba1
13b935754131
146023c14237
15336e3ac0b1
hex1ceb4434e9

124206200041 has 81 divisors (see below), whose sum is σ = 166857453693. Its totient is φ = 92110843440.

The previous prime is 124206200017. The next prime is 124206200051. The reversal of 124206200041 is 140002602421.

It is a happy number.

The square root of 124206200041 is 352429.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 124206200041 - 27 = 124206199913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 124206199985 and 124206200021.

It is not an unprimeable number, because it can be changed into a prime (124206200051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 624151660 + ... + 624151858.

Almost surely, 2124206200041 is an apocalyptic number.

124206200041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

124206200041 is the 352429-th square number.

124206200041 is the 176215-th centered octagonal number.

It is an amenable number.

124206200041 is a deficient number, since it is larger than the sum of its proper divisors (42651253652).

124206200041 is an equidigital number, since it uses as much as digits as its factorization.

124206200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

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

Adding to 124206200041 its reverse (140002602421), we get a palindrome (264208802462).

The spelling of 124206200041 in words is "one hundred twenty-four billion, two hundred six million, two hundred thousand, forty-one".

Divisors: 1 7 11 23 49 77 121 161 199 253 529 539 847 1127 1393 1771 2189 2783 3703 4577 5819 5929 9751 12397 15323 19481 24079 25921 32039 39601 40733 50347 64009 105271 107261 136367 168553 224273 277207 285131 352429 435611 448063 553817 736897 910823 1157981 1179871 1940449 2467003 3049277 3136441 3876719 4791721 5158279 6375761 8105867 10019053 12737791 20948929 21344939 27137033 33542047 44630327 56741069 70133371 89164537 110209583 146642503 230438219 234794329 490933597 624151759 771467081 1026497521 1613067533 2534820409 5400269567 11291472731 17743742863 124206200041