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134033200065 = 365293140903
BaseRepresentation
bin111110011010100000…
…0000101001111000001
3110210222000010001000000
41330311000011033001
54143444444400230
6141323552350213
712453316255062
oct1746500051701
9423860101000
10134033200065
115193027a026
1221b87545369
13c84064b94b
1466b6dc2569
153746e95b60
hex1f350053c1

134033200065 has 112 divisors (see below), whose sum is σ = 257518494720. Its totient is φ = 66791329920.

The previous prime is 134033200061. The next prime is 134033200099. The reversal of 134033200065 is 560002330431.

It is a happy number.

It is not a de Polignac number, because 134033200065 - 22 = 134033200061 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (134033200061) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3256404 + ... + 3297306.

Almost surely, 2134033200065 is an apocalyptic number.

134033200065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134033200065 is a deficient number, since it is larger than the sum of its proper divisors (123485294655).

134033200065 is an equidigital number, since it uses as much as digits as its factorization.

134033200065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40986 (or 40971 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 134033200065 its reverse (560002330431), we get a palindrome (694035530496).

The spelling of 134033200065 in words is "one hundred thirty-four billion, thirty-three million, two hundred thousand, sixty-five".

Divisors: 1 3 5 9 15 27 29 31 45 81 87 93 135 145 155 243 261 279 405 435 465 729 783 837 899 1215 1305 1395 2349 2511 2697 3645 3915 4185 4495 7047 7533 8091 11745 12555 13485 21141 22599 24273 35235 37665 40455 40903 72819 105705 112995 121365 122709 204515 218457 364095 368127 613545 655371 1092285 1104381 1186187 1267993 1840635 3276855 3313143 3558561 3803979 5521905 5930935 6339965 9939429 10675683 11411937 16565715 17792805 19019895 29818287 32027049 34235811 36771797 49697145 53378415 57059685 96081147 102707433 110315391 149091435 160135245 171179055 183858985 288243441 308122299 330946173 480405735 513537165 551576955 864730323 924366897 992838519 1441217205 1540611495 1654730865 2978515557 4323651615 4621834485 4964192595 8935546671 14892577785 26806640013 44677733355 134033200065