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124113003204132 = 223243731787614609
BaseRepresentation
bin11100001110000101001111…
…011101111100111000100100
3121021110002100120221021211100
4130032011033131330320210
5112231431412310013012
61115544420533440100
735066603630450025
oct3416051735747044
9537402316837740
10124113003204132
1136601035764678
1211b05b217a0030
135433a62989067
14229115c390c4c
15e536e61d18dc
hex70e14f77ce24

124113003204132 has 144 divisors (see below), whose sum is σ = 325606394393280. Its totient is φ = 39832970655744.

The previous prime is 124113003204061. The next prime is 124113003204167. The reversal of 124113003204132 is 231402300311421.

124113003204132 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 1 + 300 + 320 + 4 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 124113003204096 and 124113003204105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201630844 + ... + 202245452.

It is an arithmetic number, because the mean of its divisors is an integer number (2261155516620).

Almost surely, 2124113003204132 is an apocalyptic number.

124113003204132 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 124113003204132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162803197196640).

124113003204132 is an abundant number, since it is smaller than the sum of its proper divisors (201493391189148).

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

124113003204132 is a wasteful number, since it uses less digits than its factorization.

124113003204132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616522 (or 616517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 124113003204132 its reverse (231402300311421), we get a palindrome (355515303515553).

The spelling of 124113003204132 in words is "one hundred twenty-four trillion, one hundred thirteen billion, three million, two hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 73 86 129 146 172 219 258 292 387 438 516 657 774 876 1314 1548 1787 2628 3139 3574 5361 6278 7148 9417 10722 12556 16083 18834 21444 28251 32166 37668 56502 64332 76841 113004 130451 153682 230523 260902 307364 391353 461046 521804 614609 691569 782706 922092 1174059 1229218 1383138 1565412 1843827 2348118 2458436 2766276 3687654 4696236 5531481 5609393 7375308 11062962 11218786 16828179 22125924 22437572 26428187 33656358 44866457 50484537 52856374 67312716 79284561 89732914 100969074 105712748 134599371 158569122 179465828 201938148 237853683 269198742 317138244 403798113 475707366 538397484 807596226 951414732 1098306283 1615192452 1929257651 2196612566 3294918849 3858515302 4393225132 5787772953 6589837698 7717030604 9884756547 11575545906 13179675396 17363318859 19769513094 23151091812 34726637718 39539026188 47227170169 69453275436 80176358659 94454340338 141681510507 160352717318 188908680676 240529075977 283363021014 320705434636 425044531521 481058151954 566726042028 721587227931 850089063042 962116303908 1443174455862 1700178126084 2886348911724 3447583422337 6895166844674 10342750267011 13790333689348 20685500534022 31028250801033 41371001068044 62056501602066 124113003204132