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20031013200312 = 23321719245332983
BaseRepresentation
bin1001000110111110101010…
…11011010010000110111000
32121220221112202021022120100
410203133111123102012320
510111142003334402222
6110334042002355400
74135123115620332
oct443372533220670
977827482238510
1020031013200312
1164231178204a4
1222b618995bb60
13b23bbb55843a
144d371308c452
1524b0bc8ec4ac
hex1237d56d21b8

20031013200312 has 144 divisors (see below), whose sum is σ = 60624252833040. Its totient is φ = 5953489860096.

The previous prime is 20031013200311. The next prime is 20031013200313. The reversal of 20031013200312 is 21300231013002.

20031013200312 is a `hidden beast` number, since 2 + 0 + 0 + 31 + 0 + 1 + 320 + 0 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (20031013200311) and next prime (20031013200313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031013200311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22224628 + ... + 23108355.

It is an arithmetic number, because the mean of its divisors is an integer number (421001755785).

Almost surely, 220031013200312 is an apocalyptic number.

It is an amenable number.

20031013200312 is an abundant number, since it is smaller than the sum of its proper divisors (40593239632728).

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

20031013200312 is a wasteful number, since it uses less digits than its factorization.

20031013200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45333050 (or 45333024 counting only the distinct ones).

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

Adding to 20031013200312 its reverse (21300231013002), we get a palindrome (41331244213314).

The spelling of 20031013200312 in words is "twenty trillion, thirty-one billion, thirteen million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 361 408 456 612 646 684 722 969 1083 1224 1292 1368 1444 1938 2166 2584 2888 2907 3249 3876 4332 5814 6137 6498 7752 8664 11628 12274 12996 18411 23256 24548 25992 36822 49096 55233 73644 110466 147288 220932 441864 45332983 90665966 135998949 181331932 271997898 362663864 407996847 543995796 770660711 815993694 861326677 1087991592 1541321422 1631987388 1722653354 2311982133 2583980031 3082642844 3263974776 3445306708 4623964266 5167960062 6165285688 6890613416 6935946399 7751940093 9247928532 10335920124 13871892798 14642553509 15503880186 16365206863 18495857064 20671840248 27743785596 29285107018 31007760372 32730413726 43927660527 49095620589 55487571192 58570214036 62015520744 65460827452 87855321054 98191241178 117140428072 130921654904 131782981581 147286861767 175710642108 196382482356 263565963162 278208516671 294573723534 351421284216 392764964712 527131926324 556417033342 589147447068 834625550013 1054263852648 1112834066684 1178294894136 1669251100026 2225668133368 2503876650039 3338502200052 5007753300078 6677004400104 10015506600156 20031013200312