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133145012341 = 11471671542119
BaseRepresentation
bin111110000000000001…
…1111010100001110101
3110201200002211102111101
41330000003322201311
54140140110343331
6141055503410101
712422312634355
oct1740003724165
9421602742441
10133145012341
1151514985490
1221979bb3931
13c72b62c993
14663105cb65
1536e3eee061
hex1f000fa875

133145012341 has 16 divisors (see below), whose sum is σ = 149227868160. Its totient is φ = 117756130480.

The previous prime is 133145012311. The next prime is 133145012347. The reversal of 133145012341 is 143210541331.

It is a cyclic number.

It is not a de Polignac number, because 133145012341 - 215 = 133144979573 is a prime.

It is a super-2 number, since 2×1331450123412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133145012347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684721 + ... + 857398.

It is an arithmetic number, because the mean of its divisors is an integer number (9326741760).

Almost surely, 2133145012341 is an apocalyptic number.

133145012341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133145012341 is a deficient number, since it is larger than the sum of its proper divisors (16082855819).

133145012341 is a wasteful number, since it uses less digits than its factorization.

133145012341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542344.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 133145012341 its reverse (143210541331), we get a palindrome (276355553672).

The spelling of 133145012341 in words is "one hundred thirty-three billion, one hundred forty-five million, twelve thousand, three hundred forty-one".

Divisors: 1 11 47 167 517 1837 7849 86339 1542119 16963309 72479593 257533873 797275523 2832872603 12104092031 133145012341