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42011303522133 = 31119391991709321
BaseRepresentation
bin10011000110101100001001…
…10100101010111101010101
312111202020111222100021121110
421203112010310222331111
521001303122200202013
6225203420523005233
711564134156643601
oct1143260464527525
9174666458307543
1042011303522133
1112427991673390
1248660a4669819
131a598588b846a
14a53502288501
154ccc252412c3
hex263584d2af55

42011303522133 has 32 divisors (see below), whose sum is σ = 64325205504000. Its totient is φ = 24120693129600.

The previous prime is 42011303522131. The next prime is 42011303522143. The reversal of 42011303522133 is 33122530311024.

42011303522133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42011303522133 - 21 = 42011303522131 is a prime.

It is a super-2 number, since 2×420113035221332 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42011303522133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42011303522131) 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 31 ways as a sum of consecutive naturals, for example, 23723113 + ... + 25432433.

It is an arithmetic number, because the mean of its divisors is an integer number (2010162672000).

Almost surely, 242011303522133 is an apocalyptic number.

It is an amenable number.

42011303522133 is a deficient number, since it is larger than the sum of its proper divisors (22313901981867).

42011303522133 is a wasteful number, since it uses less digits than its factorization.

42011303522133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748553.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 42011303522133 its reverse (33122530311024), we get a palindrome (75133833833157).

The spelling of 42011303522133 in words is "forty-two trillion, eleven billion, three hundred three million, five hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 11 19 33 57 209 627 39199 117597 431189 744781 1293567 1709321 2234343 5127963 8192591 18802531 24577773 32477099 56407593 97431297 357248089 1071744267 67003673879 201011021637 737040412669 1273069803701 2211121238007 3819209411103 14003767840711 42011303522133