Search a number
-
+
124166731129 = 727127092
BaseRepresentation
bin111001110100011101…
…0011111010101111001
3102212111101121111001121
41303220322133111321
54013243140344004
6133012535545241
711653652541400
oct1635072372571
9385441544047
10124166731129
1148727978971
122009322b221
13b92a51524c
14601c89c637
15336abb2854
hex1ce8e9f579

124166731129 has 27 divisors (see below), whose sum is σ = 146708776431. Its totient is φ = 104781635280.

The previous prime is 124166731127. The next prime is 124166731193. The reversal of 124166731129 is 921137661421.

It is a happy number.

The square root of 124166731129 is 352373.

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

It can be written as a sum of positive squares in only one way, i.e., 16569610729 + 107597120400 = 128723^2 + 328020^2 .

It is not a de Polignac number, because 124166731129 - 21 = 124166731127 is a prime.

It is a super-2 number, since 2×1241667311292 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (124166731123) 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 26 ways as a sum of consecutive naturals, for example, 175129027 + ... + 175129735.

Almost surely, 2124166731129 is an apocalyptic number.

124166731129 is the 352373-rd square number.

124166731129 is the 176187-th centered octagonal number.

It is an amenable number.

124166731129 is a deficient number, since it is larger than the sum of its proper divisors (22542045302).

124166731129 is an frugal number, since it uses more digits than its factorization.

124166731129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 787 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The spelling of 124166731129 in words is "one hundred twenty-four billion, one hundred sixty-six million, seven hundred thirty-one thousand, one hundred twenty-nine".

Divisors: 1 7 49 71 497 709 3479 4963 5041 34741 35287 50339 247009 352373 502681 2466611 3518767 3574069 24631369 25018483 35690351 175129381 249832457 1748827199 2534014921 17738104447 124166731129