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134433104031 = 34113131191587
BaseRepresentation
bin111110100110011010…
…1100110000010011111
3110211222212121021010000
41331030311212002133
54200304333312111
6141431355545343
712466243346622
oct1751465460237
9424885537100
10134433104031
1152015a89876
122207945b253
13c8a5458605
14671415ddb9
15376c13ac56
hex1f4cd6609f

134433104031 has 80 divisors (see below), whose sum is σ = 205561939968. Its totient is φ = 87539961600.

The previous prime is 134433104027. The next prime is 134433104059. The reversal of 134433104031 is 130401334431.

134433104031 is a `hidden beast` number, since 1 + 344 + 3 + 310 + 4 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 134433104031 - 22 = 134433104027 is a prime.

It is a super-2 number, since 2×1344331040312 (a number of 23 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 = 134433103986 and 134433104004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134433104131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 229016920 + ... + 229017506.

Almost surely, 2134433104031 is an apocalyptic number.

134433104031 is a deficient number, since it is larger than the sum of its proper divisors (71128835937).

134433104031 is a wasteful number, since it uses less digits than its factorization.

134433104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 134433104031 its reverse (130401334431), we get a palindrome (264834438462).

The spelling of 134433104031 in words is "one hundred thirty-four billion, four hundred thirty-three million, one hundred four thousand, thirty-one".

Divisors: 1 3 9 27 81 113 131 191 339 393 573 587 1017 1179 1719 1761 3051 3537 5157 5283 9153 10611 14803 15471 15849 21583 25021 44409 47547 64749 66331 75063 76897 112117 133227 194247 198993 225189 230691 336351 399681 582741 596979 675567 692073 1009053 1199043 1748223 1790937 2026701 2076219 2827373 3027159 5372811 6228657 8482119 8689361 9081477 12669221 14687327 25446357 26068083 38007663 44061981 76339071 78204249 114022989 132185943 229017213 234612747 342068967 396557829 703838241 1026206901 1189673487 1659667951 4979003853 14937011559 44811034677 134433104031