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124289387209 = 1324725772
BaseRepresentation
bin111001111000000111…
…0011000101011001001
3102212210221102001120101
41303300032120223021
54014021040342314
6133033040525401
711660002234321
oct1636016305311
9385727361511
10124289387209
1148790134229
1220108320861
13b949a5c100
146030caa281
153376840174
hex1cf0398ac9

124289387209 has 27 divisors (see below), whose sum is σ = 137748729717. Its totient is φ = 112093023744.

The previous prime is 124289387207. The next prime is 124289387213. The reversal of 124289387209 is 902783982421.

The square root of 124289387209 is 352547.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11675450809 + 112613936400 = 108053^2 + 335580^2 .

It is not a de Polignac number, because 124289387209 - 21 = 124289387207 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 124289387209.

It is not an unprimeable number, because it can be changed into a prime (124289387207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215405929 + ... + 215406505.

Almost surely, 2124289387209 is an apocalyptic number.

124289387209 is the 352547-th square number.

124289387209 is the 176274-th centered octagonal number.

It is an amenable number.

124289387209 is a deficient number, since it is larger than the sum of its proper divisors (13459342508).

124289387209 is an frugal number, since it uses more digits than its factorization.

124289387209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 124289387209 in words is "one hundred twenty-four billion, two hundred eighty-nine million, three hundred eighty-seven thousand, two hundred nine".

Divisors: 1 13 47 169 577 611 2209 7501 7943 27119 28717 97513 332929 352547 373321 1274593 4328077 4583111 15647663 16569709 56265001 203419619 215406217 735440161 2644455047 9560722093 124289387209