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133242432001 = 71948712371663
BaseRepresentation
bin111110000010111011…
…1100010101000000001
3110201220220010212010221
41330011313202220001
54140340030311001
6141113303423041
712424604661610
oct1740567425001
9421826125127
10133242432001
11515649742a8
12219a6754a81
13c74587bb53
14663dd7b877
1536ec8441a1
hex1f05de2a01

133242432001 has 32 divisors (see below), whose sum is σ = 160847298560. Its totient is φ = 107822529216.

The previous prime is 133242431999. The next prime is 133242432013. The reversal of 133242432001 is 100234242331.

It is a cyclic number.

It is not a de Polignac number, because 133242432001 - 21 = 133242431999 is a prime.

It is a super-2 number, since 2×1332424320012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133242432041) 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 31 ways as a sum of consecutive naturals, for example, 80120896 + ... + 80122558.

It is an arithmetic number, because the mean of its divisors is an integer number (5026478080).

Almost surely, 2133242432001 is an apocalyptic number.

It is an amenable number.

133242432001 is a deficient number, since it is larger than the sum of its proper divisors (27604866559).

133242432001 is a wasteful number, since it uses less digits than its factorization.

133242432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 133242432001 its reverse (100234242331), we get a palindrome (233476674332).

The spelling of 133242432001 in words is "one hundred thirty-three billion, two hundred forty-two million, four hundred thirty-two thousand, one".

Divisors: 1 7 19 133 487 1237 1663 3409 8659 9253 11641 23503 31597 64771 164521 221179 602419 809881 2057131 4216933 5669167 11445961 14399917 15387739 39085489 80121727 107714173 273598423 1001822797 7012759579 19034633143 133242432001