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124201243332 = 2232891092291553
BaseRepresentation
bin111001110101011111…
…0001001001011000100
3102212120210112212220100
41303222332021023010
54013331004241312
6133020211404100
711654552102145
oct1635276111304
9385523485810
10124201243332
1148745400451
12200a28b3630
13b934709c7a
1460232c3acc
15336dc2d5dc
hex1ceaf892c4

124201243332 has 144 divisors (see below), whose sum is σ = 321999678000. Its totient is φ = 40356569088.

The previous prime is 124201243253. The next prime is 124201243339. The reversal of 124201243332 is 233342102421.

124201243332 is a `hidden beast` number, since 1 + 24 + 201 + 2 + 433 + 3 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 152176896 + 124049066436 = 12336^2 + 352206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 124201243296 and 124201243305.

It is not an unprimeable number, because it can be changed into a prime (124201243339) 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, 79974268 + ... + 79975820.

It is an arithmetic number, because the mean of its divisors is an integer number (2236108875).

Almost surely, 2124201243332 is an apocalyptic number.

124201243332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124201243332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160999839000).

124201243332 is an abundant number, since it is smaller than the sum of its proper divisors (197798434668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

124201243332 is a wasteful number, since it uses less digits than its factorization.

124201243332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 124201243332 its reverse (233342102421), we get a palindrome (357543345753).

The spelling of 124201243332 in words is "one hundred twenty-four billion, two hundred one million, two hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 109 178 218 229 267 327 356 436 458 534 654 687 801 916 981 1068 1308 1374 1553 1602 1962 2061 2748 3106 3204 3924 4122 4659 6212 8244 9318 9701 13977 18636 19402 20381 24961 27954 29103 38804 40762 49922 55908 58206 61143 74883 81524 87309 99844 116412 122286 138217 149766 169277 174618 183429 224649 244572 276434 299532 338554 349236 355637 366858 414651 449298 507831 552868 677108 711274 733716 829302 898596 1015662 1066911 1243953 1422548 1523493 1658604 2031324 2133822 2221529 2487906 3046986 3200733 4267644 4443058 4975812 6093972 6401466 6664587 8886116 12802932 13329174 15065653 19993761 26658348 30131306 31651693 38764433 39987522 45196959 60262612 63303386 77528866 79975044 90393918 94955079 116293299 126606772 135590877 155057732 180787836 189910158 232586598 271181754 284865237 348879897 379820316 465173196 542363508 569730474 697759794 1139460948 1395519588 3450034537 6900069074 10350103611 13800138148 20700207222 31050310833 41400414444 62100621666 124201243332