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102003113320020 = 2232511192711406521
BaseRepresentation
bin10111001100010101110011…
…010101011101111001010100
3111101011101212100102102102200
4113030111303111131321110
5101332204334002220040
61000535330001004500
730325324144343133
oct2714256325357124
9441141770372380
10102003113320020
112a557306287410
12b534a78323730
1344bbb106ba0c3
141b28d96d6591a
15bbd505c77630
hex5cc57355de54

102003113320020 has 144 divisors (see below), whose sum is σ = 355302710642880. Its totient is φ = 23426552332800.

The previous prime is 102003113319937. The next prime is 102003113320057. The reversal of 102003113320020 is 20023311300201.

102003113320020 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 311 + 332 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102003113319975 and 102003113320002.

It is a congruent number.

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, 1355665641 + ... + 1355740880.

It is an arithmetic number, because the mean of its divisors is an integer number (2467379935020).

Almost surely, 2102003113320020 is an apocalyptic number.

102003113320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003113320020 is an abundant number, since it is smaller than the sum of its proper divisors (253299597322860).

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

102003113320020 is a wasteful number, since it uses less digits than its factorization.

102003113320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711406566 (or 2711406561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102003113320020 its reverse (20023311300201), we get a palindrome (122026424620221).

The spelling of 102003113320020 in words is "one hundred two trillion, three billion, one hundred thirteen million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 2711406521 5422813042 8134219563 10845626084 13557032605 16268439126 24402658689 27114065210 29825471731 32536878252 40671097815 48805317378 51516723899 54228130420 59650943462 81342195630 89476415193 97610634756 103033447798 119301886924 122013293445 149127358655 154550171697 162684391260 178952830386 206066895596 244026586890 257583619495 268429245579 298254717310 309100343394 357905660772 447382075965 463650515091 488053173780 515167238990 536858491158 566683962889 596509434620 618200686788 772750858485 894764151930 927301030182 1030334477980 1073716982316 1133367925778 1342146227895 1545501716970 1700051888667 1789528303860 1854602060364 2266735851556 2318252575455 2684292455790 2833419814445 3091003433940 3400103777334 4636505150910 5100155666001 5368584911580 5666839628890 6800207554668 8500259443335 9273010301820 10200311332002 11333679257780 17000518886670 20400622664004 25500778330005 34001037773340 51001556660010 102003113320020