Search a number
-
+
20031003123219 = 32111633989311183
BaseRepresentation
bin1001000110111110101001…
…10100110101111000010011
32121220221112001022100101200
410203133110310311320103
510111141443244420334
6110334041002402243
74135122634150134
oct443372464657023
977827461270350
1020031003123219
116423112068420
1222b6186500383
13b23bb943a76a
144d37119c7c8b
1524b0bbaab799
hex1237d4d35e13

20031003123219 has 48 divisors (see below), whose sum is σ = 31765712509440. Its totient is φ = 12062459891520.

The previous prime is 20031003123169. The next prime is 20031003123227. The reversal of 20031003123219 is 91232130013002.

20031003123219 is a `hidden beast` number, since 2 + 0 + 0 + 310 + 0 + 312 + 32 + 1 + 9 = 666.

It is not a de Polignac number, because 20031003123219 - 221 = 20031001026067 is a prime.

It is a super-2 number, since 2×200310031232192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20031003123192 and 20031003123201.

It is not an unprimeable number, because it can be changed into a prime (20031003123269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64214902 + ... + 64526084.

It is an arithmetic number, because the mean of its divisors is an integer number (661785677280).

Almost surely, 220031003123219 is an apocalyptic number.

20031003123219 is a deficient number, since it is larger than the sum of its proper divisors (11734709386221).

20031003123219 is a wasteful number, since it uses less digits than its factorization.

20031003123219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315352 (or 315349 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 20031003123219 in words is "twenty trillion, thirty-one billion, three million, one hundred twenty-three thousand, two hundred nineteen".

Divisors: 1 3 9 11 33 99 163 489 1467 1793 3989 5379 11967 16137 35901 43879 131637 311183 394911 650207 933549 1950621 2800647 3423013 5851863 7152277 10269039 21456831 30807117 50722829 64370493 152168487 456505461 557951119 1241308987 1673853357 3723926961 5021560071 11171780883 13654398857 40963196571 122889589713 202333364881 607000094643 1821000283929 2225667013691 6677001041073 20031003123219