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42233011014031 = 3113591100239511
BaseRepresentation
bin10011001101001001000111…
…00111101000100110001111
312112112102210011002210220021
421212210203213220212033
521013421201304422111
6225453324420003011
711616143245352155
oct1146444347504617
9175472704083807
1042233011014031
1112502a12783532
1248a1059b30467
131a7472c2828a6
14a601353273d5
154d389e2b4d71
hex2669239e898f

42233011014031 has 8 divisors (see below), whose sum is σ = 43598574307328. Its totient is φ = 40867648227000.

The previous prime is 42233011013981. The next prime is 42233011014037. The reversal of 42233011014031 is 13041011033224.

42233011014031 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 42233011014031 - 213 = 42233011005839 is a prime.

It is a super-2 number, since 2×422330110140312 (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 = 42233011013987 and 42233011014005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42233011014037) 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, 49698435 + ... + 50541076.

It is an arithmetic number, because the mean of its divisors is an integer number (5449821788416).

Almost surely, 242233011014031 is an apocalyptic number.

42233011014031 is a deficient number, since it is larger than the sum of its proper divisors (1365563293297).

42233011014031 is a wasteful number, since it uses less digits than its factorization.

42233011014031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100253133.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 42233011014031 its reverse (13041011033224), we get a palindrome (55274022047255).

The spelling of 42233011014031 in words is "forty-two trillion, two hundred thirty-three billion, eleven million, fourteen thousand, thirty-one".

Divisors: 1 31 13591 421321 100239511 3107424841 1362355194001 42233011014031