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42133031422031 = 1112013189238621
BaseRepresentation
bin10011001010001110111000…
…10111110000100001001111
312112011212201101212022011102
421211013130113300201033
521010301422021001111
6225335351502213315
711606003540012204
oct1145073427604117
9175155641768142
1042133031422031
1112474577917250
1248857b6b8423b
131a68187a6a1b4
14a5936cc99cab
154d0e9bc5c13b
hex2651dc5f084f

42133031422031 has 8 divisors (see below), whose sum is σ = 46001577883728. Its totient is φ = 38270863440000.

The previous prime is 42133031421959. The next prime is 42133031422061. The reversal of 42133031422031 is 13022413033124.

42133031422031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42133031422031 - 210 = 42133031421007 is a prime.

It is a super-2 number, since 2×421330314220312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42133031421985 and 42133031422003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133031422061) 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 7 ways as a sum of consecutive naturals, for example, 1594606100 + ... + 1594632521.

It is an arithmetic number, because the mean of its divisors is an integer number (5750197235466).

Almost surely, 242133031422031 is an apocalyptic number.

42133031422031 is a deficient number, since it is larger than the sum of its proper divisors (3868546461697).

42133031422031 is a wasteful number, since it uses less digits than its factorization.

42133031422031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189239833.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 42133031422031 its reverse (13022413033124), we get a palindrome (55155444455155).

The spelling of 42133031422031 in words is "forty-two trillion, one hundred thirty-three billion, thirty-one million, four hundred twenty-two thousand, thirty-one".

Divisors: 1 11 1201 13211 3189238621 35081624831 3830275583821 42133031422031