Search a number
-
+
124220232153 = 353117099649
BaseRepresentation
bin111001110110000011…
…0100101000111011001
3102212122010021121200000
41303230012211013121
54013400334412103
6133022130403213
711655202360143
oct1635406450731
9385563247600
10124220232153
114875509aa96
12200a9130509
13b938628064
146025a27c93
15337072eaa3
hex1cec1a51d9

124220232153 has 48 divisors (see below), whose sum is σ = 192209472000. Its totient is φ = 80086890240.

The previous prime is 124220232139. The next prime is 124220232167. The reversal of 124220232153 is 351232022421.

124220232153 is a `hidden beast` number, since 1 + 2 + 422 + 0 + 23 + 215 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (124220232139) and next prime (124220232167).

It is not a de Polignac number, because 124220232153 - 25 = 124220232121 is a prime.

It is a super-2 number, since 2×1242202321532 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (124220232133) 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 47 ways as a sum of consecutive naturals, for example, 12869073 + ... + 12878721.

It is an arithmetic number, because the mean of its divisors is an integer number (4004364000).

Almost surely, 2124220232153 is an apocalyptic number.

It is an amenable number.

124220232153 is a deficient number, since it is larger than the sum of its proper divisors (67989239847).

124220232153 is an equidigital number, since it uses as much as digits as its factorization.

124220232153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11404 (or 11392 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 124220232153 its reverse (351232022421), we get a palindrome (475452254574).

The spelling of 124220232153 in words is "one hundred twenty-four billion, two hundred twenty million, two hundred thirty-two thousand, one hundred fifty-three".

Divisors: 1 3 9 27 31 81 93 243 279 837 1709 2511 5127 7533 9649 15381 28947 46143 52979 86841 138429 158937 260523 299119 415287 476811 781569 897357 1430433 2344707 2692071 4291299 8076213 12873897 16490141 24228639 49470423 72685917 148411269 445233807 511194371 1335701421 1533583113 4007104263 4600749339 13802248017 41406744051 124220232153