Search a number
-
+
124131161 = 721117192331
BaseRepresentation
bin1110110011000…
…01011101011001
322122120111221102
413121201131121
5223234144121
620152321145
73035045300
oct731413531
9278514842
10124131161
1164083640
12356a31b5
131c9423bb
14126b3437
15ad6e90b
hex7661759

124131161 has 96 divisors (see below), whose sum is σ = 189112320. Its totient is φ = 79833600.

The previous prime is 124131151. The next prime is 124131167. The reversal of 124131161 is 161131421.

It is a happy number.

It is not a de Polignac number, because 124131161 - 26 = 124131097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124131167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4004216 + ... + 4004246.

It is an arithmetic number, because the mean of its divisors is an integer number (1969920).

Almost surely, 2124131161 is an apocalyptic number.

124131161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124131161 is a deficient number, since it is larger than the sum of its proper divisors (64981159).

124131161 is a wasteful number, since it uses less digits than its factorization.

124131161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The square root of 124131161 is about 11141.4164718854. The cubic root of 124131161 is about 498.8388535653.

Adding to 124131161 its reverse (161131421), we get a palindrome (285262582).

The spelling of 124131161 in words is "one hundred twenty-four million, one hundred thirty-one thousand, one hundred sixty-one".

Divisors: 1 7 11 17 19 23 31 49 77 119 133 161 187 209 217 253 323 341 391 437 527 539 589 713 833 931 1127 1309 1463 1519 1771 2261 2387 2737 3059 3553 3689 4123 4301 4807 4991 5797 6479 7429 7843 9163 10013 10241 12121 12397 13547 15827 16709 19159 21413 24871 25823 28861 30107 33649 34937 40579 45353 52003 54901 70091 81719 84847 94829 110143 133331 149017 174097 210749 230299 235543 284053 317471 364021 384307 490637 572033 593929 663803 771001 933317 1043119 1612093 2533289 4004231 5397007 6533219 7301833 11284651 17733023 124131161