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133342412401 = 11411273923209
BaseRepresentation
bin111110000101111010…
…0111011111001110001
3110202011212021101110201
41330023310323321301
54141041124144101
6141131234355201
712430230542632
oct1741364737161
9422155241421
10133342412401
1151606352030
1221a1412bb01
13c7604b6753
14664d365889
1537064e2e01
hex1f0bd3be71

133342412401 has 16 divisors (see below), whose sum is σ = 149030481600. Its totient is φ = 118249401600.

The previous prime is 133342412377. The next prime is 133342412419. The reversal of 133342412401 is 104214243331.

It is a happy number.

It is not a de Polignac number, because 133342412401 - 221 = 133340315249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133342412401.

It is not an unprimeable number, because it can be changed into a prime (133342412501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5733685 + ... + 5756893.

It is an arithmetic number, because the mean of its divisors is an integer number (9314405100).

Almost surely, 2133342412401 is an apocalyptic number.

133342412401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133342412401 is a deficient number, since it is larger than the sum of its proper divisors (15688069199).

133342412401 is a wasteful number, since it uses less digits than its factorization.

133342412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36000.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 133342412401 its reverse (104214243331), we get a palindrome (237556655732).

The spelling of 133342412401 in words is "one hundred thirty-three billion, three hundred forty-two million, four hundred twelve thousand, four hundred one".

Divisors: 1 11 41 451 12739 23209 140129 255299 522299 951569 5745289 10467259 295659451 3252253961 12122037491 133342412401