Search a number
-
+
20013103023219 = 33172314051134917
BaseRepresentation
bin1001000110011101010011…
…11001011000010001110011
32121212020022120010001102000
410203032221321120101303
510110343313333220334
6110321520445225043
74133620230622515
oct443165171302163
977766276101360
1020013103023219
116416566a09349
1222b280b862183
13b222c5b17307
144d28d4563bb5
1524a8c0388299
hex1233a9e58473

20013103023219 has 64 divisors (see below), whose sum is σ = 32760594478080. Its totient is φ = 12010330252800.

The previous prime is 20013103023209. The next prime is 20013103023239. The reversal of 20013103023219 is 91232030131002.

20013103023219 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 31 + 0 + 302 + 321 + 9 = 666.

It is not a de Polignac number, because 20013103023219 - 215 = 20013102990451 is a prime.

It is a super-2 number, since 2×200131030232192 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20013103023192 and 20013103023201.

It is not an unprimeable number, because it can be changed into a prime (20013103023209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148268949 + ... + 148403865.

It is an arithmetic number, because the mean of its divisors is an integer number (511884288720).

Almost surely, 220013103023219 is an apocalyptic number.

20013103023219 is a deficient number, since it is larger than the sum of its proper divisors (12747491454861).

20013103023219 is a wasteful number, since it uses less digits than its factorization.

20013103023219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149017 (or 149011 counting only the distinct ones).

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

The spelling of 20013103023219 in words is "twenty trillion, thirteen billion, one hundred three million, twenty-three thousand, two hundred nineteen".

Divisors: 1 3 9 17 23 27 51 69 153 207 391 459 621 1173 3519 10557 14051 42153 126459 134917 238867 323173 379377 404751 716601 969519 1214253 2149803 2293589 2908557 3103091 3642759 5493941 6449409 6880767 8725671 9309273 16481823 20642301 27927819 49445469 52752547 61926903 83783457 148336407 158257641 474772923 1424318769 1895718767 5687156301 17061468903 32227219039 43601531641 51184406709 96681657117 130804594923 290044971351 392413784769 741226037897 870134914053 1177241354307 2223678113691 6671034341073 20013103023219